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ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs CHEMISTRY PAPER II Marks: 60 SECTION – A I. Answer all the following questions: (10 x 2 = 20) 1. Calculate the number of particles present in a fcc crystal structure. 2. What are octahedral holes? How are they formed? 3. Write the systematic names of the following: a) K[Ag (CN)2] b) [Co (NH3)3 (Cl3)] 4. What is PHBV? How is it useful to man? 5. What are lipids? Give one example. 6. What are vitamins? Give one example. 7. Define antiseptics. Give examples. 8. How is paracetamol prepared? Give its equation? 9. What is chloropicrin? How is it formed from chloroform? Give its equation. 10. What are Harmones & explain any one in details. SECTION – B II. Answer any SIX of the following: (6 x 4 = 24) 11. Define molarity. Calculate the molarity of 10.6% W Na2CO3 solution. V 12. State and explain Faraday’s laws of electrolysis. 13. Explain the Lewis acid-base theory with suitable examples. 14. Write any four differences between physical adsorption and chemical adsorption. 15. State Hess’s law of constant heat summation and explain it with an example. 16. Draw a neat diagram of a blast furnace and label it neatly. 17. Explain how superphosphate of lime is manufactured. 18. Write the important postulates of Werner’s theory of complex compounds. SECTION – C III. Answer any TWO of the following: (2 x 8 = 16) 19. State LeChatelier’s principle, apply the same to the equilibrium. N2 (g) + 3H2 (g) 2NH3 (g); ∆ H = -92 kJ. 20. a) How is bleaching powder prepared industrially? b) Give the reactions of ozone with the following and give equations. i) Hg ii) SO2 iii) H2O2 iv) PbS 21. Write a method for the preparation of F2. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs CHEMISTRY PAPER I Marks: 60 SECTION – A I. Answer all the following questions: (10 x 2 = 20) 1. Write any two effects of polluted water. 2. Write about Nalgonda deflorination. 3. Calculate kinetic energy of 2 moles of O2 gas at 27 0C (R = 2 cal/mole – K). 4. What are the effects of Acid Rains? 5. Define (i) Ionization energy, (ii) Electron affinity. 6. What is shielding effect? How does it effect the IP values? 7. In how many stages plaster of Paris sets to a hard mass? Write equation. 8. Write the differences between Diamond & Graphite. 9. How heavy water reacts with calcium carbide? 10. What type of chemical bond will be formed between K and Br atoms, if electronegativity of K is 0.8 & Br is 2.8? SECTION – B II. Answer any SIX of the following: (6 x 4 = 24) 11. How the IP values vary in group as well as in period? Explain. 12. Give any two oxidation properties of H2O2. 13. Deduce Boyle’s law and Graham’s law of diffusion from kinetic gas equation. 14. Write about the preparation of D2O. 15. How does NaOH react with following compounds? Write chemical equations. (a) Zn metal, (b) NH4Cl salt 16. Explain the structure of Diborane. 17. Compare the structure of Diamond and Graphite. 18. Write about Dewar’s method for the separation of noble gases from their mixture. SECTION – C III. Answer any TWO of the following: (2 x 8 = 16) 19. (a) State the postulates of Bohr’s atomic model. (b) What will be the De-Broglie wavelength of a ball of mass 0.1 kg moving with a velocity of 10 m/s? (h = 6.626 x 10-34 Js) 20. Why second ionization energy is greater than first ionization. Expalin with suitable example? 21. Write about different types of Hybridization. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs CIVICS PAPER I Marks: 100 SECTION A I. Answer any three in 40 lines each. Each question carries ten marks. (3 x 10 = 30) 1. Define Political Science and explain its scope? 2. Define State and explain its elements? 3. Define Sovereignty and explain its characteristic features? 4. Explain basic principles of Gandhism? 5. Define liberty and explain various kinds of liberty? SECTION B II. Answer any eight in 20 lines each. Each question carries five marks. (8 x 5 = 40) 6. What are the Characteristics of Nationality? 7. Explain the differences between State and Government? 8. What are the differences between State and Society? 9. Discuss political rights? 10. What are Civil Rights? 11. Explain Fundamental duties? 12. Define law and explain any three sources of law? 13. Explain the principles of Satyagrahi? 14. Secular State? 15. What are main principles of welfare State? 16. What are merits and demerits of initiative? 17. Write about Karl Marx? SECTION C III. Answer any fifteen in not more than 5 lines each. (15 x 2 = 30) 18. Define political science. 19. What is meant by ethics? 20. Behavioralism. 21. Define State. 22. Government. 23. Society. 24. Nationalism. 25. What is meant by constitutional law? 26. What is meant by Sovereignty? 27. Two writing of Karl Marx. 28. What are political rights? 29. Define Democracy. 30. Re call 31. Indirect Democracy. 32. Plebiscite. 33. Moral Rights. 34. Clarification of Rights. 35. Explain Rights to enforce rights. 36. Thesis and Anti – Thesis. 37. Define Sovereignty. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs CIVICS PAPER II Marks: 100 SECTION A I. Answer any three in 40 lines each. Each question carries ten marks. (3 x 10 = 30) 1. Explain the Salient Features of Indian Constitution? 2. Discuss Fundamental Rights of citizen as guaranteed by Indian Constitution? 3. Explain the powers and function of President? 4. Explain the junction of Lok Sabha Speaker? 5. Explain the powers and functions of Indian Parliament? SECTION B II. Answer any eight in not more than 20 lines each. Each carries five marks. (8 x 5 = 40) 6. Explain any 5 factors contributing to the rise of National Movement in India? 7. What are the various programmers adopted dury non-cooperation movement? 8. Write any five differences between Fundamental Rights and Directive Principles of State Policy? 9. Explain the characteristics features of Directive principles of State Policy? 10. Explain the powers and Functions of Supreme Court? 11. Describe the powers of Governor? 12. Explain structure of Legislative Assembly? 13. Write the composition of State legislative council? 14. Point out the financial Relations between Union and State? 15. Explain the recommendations of Sarkaria commission? 16. Explain Five Socialist principles of Directive Principles? 17. Explain five functions of Chief Minister? SECTION C III. Answer any fifteen in not more than 5 lines each. Each carries two marks. (15 x 2 = 30) 18. Minto – Marley reforms 19. Write 2 Gandian Principles? 20. Classify Directive Principles of State Policy? 21. What are additional items of Directive principles of State Policy? 22. Quorum of Loksabha? 23. What are qualification for a person who wishes to contest to office of president? 24. Write 2 functions of Finance commission? 25. State List? 26. Union List? 27. Composition of Supreme Court? 28. Write 2 differences between Public bills and Private bills? 29. By whom the president of India in elected? 30. Which articles of Indian Constitution empower the president to exercise the emergency power? 31. Article 356 32. Name any five Indian Presidents? 33. Write 2 functions of public Accounts Committee? 34. Court of record. 35. What are qualification of members of Lok Sabha? 36. What are qualification of members of Rajya Sabha? 37. Who is the present Prime Minister of India? ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs ECONOMICS PAPER I Marks: 100 SECTION A I. Answer any three of the following not exceeding 40 lines each. (3 x 10 = 30) 1. Explain the law of diminishing marginal utility with exceptions? 2. What is consumer equilibrium? Explain the law of equi-marginal utility with suitable diagram? 3. State the law of demand of & its exceptions? 4. State the law of Variable Proportion? 5. Explain the law of returns to scale? SECTION B II. Answer any eight of the following not exceeding 20 lines each (8 x 5 = 4 0) 6. What are the characteristics features of wants? 7. Explain internal economies of Scale? 8. Discuss the static & dynamic analysis of Economic theory? 9. Explain the scope & important of Micro & Macro Economic? 10. Jacob Viner’s definition of Economics? 11. Explain the Samuelson definition of Economics? 12. What are the different types of Price elasticity of demand? 13. What are the properties of Indifference Curves? 14. What are the methods to measure price elasticity of demand? 15. What are the determinants of Supply? 16. Explain the relationship between Average cost & marginal cost? 17. Why does the demand curves slopes downwards? SECTION C III. Answer any fifteen of the following not exceeding 5 lines each (15 x 2 = 30) 18. Economic agents. 19. Partial equilibrium. 20. Wealth. 21. Utility. 22. Intermediary goods. 23. Price. 24. Economic goods. 25. Value in exchange. 26. Capital Goods. 27. Value. 28. Ordinal Utility. 29. Cardinal Utility. 30. Income demand. 31. Marginal Utility. 32. Derived demand. 33. Demand Schedule. 34. Income elasticity of demand. 35. Budget Line. 36. Average Product. 37. Supply. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs ECONOMICS PAPER II Marks: 100 I. Answer any three of the following questions: (3 x 10 = 30) 1. What are causes for low productivity in agriculture? 2. What are the causes for the rapid growth of population? 3. What are the causes for inequalities in the distribution of income & wealth? 4. Briefly explain the evolutions of privatization in India? 5. What are characteristic features of developing countries like India? II. Answer any eight of the following questions: (8 x 5 = 40) 6. Describe the role of WTO in Indian Economy? 7. Explain the role of international trade in Economic development? 8. What are determinants that influence Economic development? 9. What is co-operative farming? 10. What are functions of NABARD in Rural Credit? 11. Define human resource development? How do you improve it? 12. What is the role of Micro finance in alleviation of poverty India? 13. What are the characteristic features of developed county? 14. Explain the role of Health in Economic development? 15. Bring out the main element of population policy, 2000? 16. What are the disadvantages of privatization in India? 17. Explain the different agreements under WTO? 18. Explain the defects in agricultural Marketing in India? III. Answer any fifteen of the following questions. (2 x 15 = 30) 19. Primary Sector 29. HDI 20. Economic development 30. Liberalization 21. TRIPs 31. Disinvestment 22. Per capita Income 32. Zamindari System 33. Rhythu Bazaar 23. Unemployment. 34. Food Security 24. Absolute poverty 35. SGSY. 25. Disguised unemployment 36. SHG 26. Janani Suraksha Yojana 37. Micro finance 27. HPI 38. Sarvasiksha Abhiyan. 28. MRTPS ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs PHYSICS PAPER II Marks: 60 SECTION – A I. Answer All the following: (10 x 2 =20) 1. What are “Focusing” and “Echelon effect”? 2. What is an ‘echo’? What is the minimum distance from which an echo can be heard? 3. What is a thermo couple? Write one of its uses. 4. What are Seebeck and Peltier effects? 5. Classify the following substances into Dia, Para and Ferro magnetic materials (i) Manganese, (ii) Bismuth (iii) Cobalt (iv) Oxygen. 6. Two magnetic Poles of strengths 40 A-m and 10 A-m are separated by a distance of 20 cm in air. Find the force between them. 7. On what factors does the resistance of a conductor depend? 8. What type of transformer is used in a bed lamp? 9. The potential of earth is taken as Zero. Explain. 10. What happens to the capacitance of a parallel plate capacitor if the radius of its plates is doubled? SECTION – B II. Answer any SIX of the following: (6 x 4 = 24) 11. Explain the modes of Vibrations in Open Pipe with suitable illustrations. 12. Define (i) Intensity of electric field (E) (ii) Potential difference between two Points V. Derive the relation between them. 13. Derive an equation for equivalent Capacitance. When a number of capacitors are connected in parallel. 14. Derive an expression for the magnetic induction at a point on axial line of a bar magnet. 15. Explain how thermo emf varies with temperature in a thermocouple. 16. State the Principle on which a transformer works. Describe the working of a transformer with necessary theory. 17. State and explain Biot - Savart’s Law. 18. State and explain ‘Tangent Law’ in Magnetism. SECTION – C III. Answer any TWO of the following: (2 x 8 = 16) 19. Explain the formation of stationary waves in stretched strings. Hence deduce laws of transverse waves in stretched strings. If the tension of the wire gets 9 times to the original, calculate new fundamental frequency. 20. Describe torque acting on a current carrying coil in a magnetic field and explain principle, construction and working of a moving coil galvanometer, 21. State and explain Kirchoff’s Law Apply it to Wheatstone bridge to obtain balancing condition. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs PHYSICS PAPER I Marks: 60 SECTION – A I. Answer all the following questions: (10 x 2 = 20) 1. If units of length and time are doubled, what happens to unit of energy? 2. Write the dimensional formula for (i) Energy, (ii) Pressure. 3. The mass of a body is 5kg and its velocity is 4 i + 2 j – k m/sec. What is the momentum of the body? 4. Define coefficient of restitution and State its value in case of Elastic and Inelastic collisions? 5. Derive the relation between kinetic energy and momentum? 6. Can substances contract on heating? Give an example? 7. Convert Ok on Fahrenheit scale? 8. Is it necessary that mass should be present at the centre of mass of the system? Give an example? 9. Mention any two methods, which are used to reduce Friction? 10. Why the gaps are left between adjacent rails on a railway track? SECTION -B II. Answer any SIX of the following: (6 x 4 = 24) 11. State parallelogram Law of vectors. Derive an equation for the magnitude of resultant of two vectors and also draw the diagram. 12. Define vector product. Give its properties and two examples. 13. Show that time of ascent of a vertically projected body is equal to time of descent. 14. Obtain the centre of mass of a system of 4 particles 1kg, 2kg, 3kg and 4kg respectively located at the corner of square of 1m" side. Take origin at 1 kg, 2kg and 3kg are on x and y-axes respectively. 15. Why pulling of Lawn roller is preferred than pushing the Lawn roller? Explain with neat diagrams? 16. Show that two Spheres of equal masses moving along a straight line exchange their velocities after a head-on elastic collision. 17. Derive the relation between volume and pressure coefficient of a gas (α = β). 18. State the Law of conservation of angular momentum and explain it with two examples. SECTION – C III. Answer any TWO of the following: (2 x 8 = 16) 19. State law of conservation of energy. Prove it in case of a freely falling body. A ball is projected vertically upwards from grand with an initial velocity of 9.8m/sec. Find the maximum height reached by it using the law of conservation of energy? 20. State Boyle’s law and Charles law. Hence derive ideal gas equation? The pressure of gas of volume 1 Litre is 76 cm of Hg. If the pressure is increased to 114 cm of Hg at constant temperature. Find its volume. 21. Define potential energy and kinetic energy obtain the expression for kinetic energy? A man of mass 70kg ascends a flight of 36 steps each 20 cm" high. What is the work he does against gravity? ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs COMMERCE PAPER I Marks: 100 PART – A I. Answer any Two of the following not exceeding 40 lines. (2 x 10 = 20) 1. Define Joint Stock Company & Explain its characteristics features? 2. Explain the Merits and Demerits of Sole Trading Concern? 3. Define Business Finance and explain the different types of business finance? II. Answer any Four of the following not exceeding 20 lines. (4 x 5 = 20) 4. Explain the characteristics of Business? 5. Explain the types of Industries? 6. Explain the differences between preference shares & Equity shares? 7. Explain about the clauses in the Memorandum of Association? 8. State the contents of Prospectus? 9. Describe any 5 types preference shares? III Answer any five not exceeding 4 lines. (5 x 2 = 10) 10. Entreport trade 14. Statement in lieu of prospectus 11. Kartha 15. Mithakshara Law 12. Partner by Estoppel 16. Chartered Companies 13. Certificate of Incorporation 17. Working capital. PART B IV. Answer any two of the following questions: (2 x 5 = 10) 18. Explain the types of Accounts with debit and credit principles. 19. Explain the 5 concepts of Accountancy. 20. Prepare Vasanth A/C 2008 August 1 Amount due from Vasanth Rs. 20,000/- " 2 Sold goods to Vasanth for cash Rs. 4,000/- " 6 Purchased furniture from Vasanth Rs. 10,000/- " 12 Sold Goods to Vasanth Rs. 5,000/- " 13 Goods returned from Vasanth Rs. 300/- " 20 Vasanth A/C settled with cheque, Discount allowed Rs. 300. 21. Record the following transactions in the proper subsidiary books. 2004 April 1 Purchased goods from Ajay Rs. 1,000/- " 5 Sold goods to Rahul Rs. 2,000/- " 6 Sold goods to Deepak Rs. 500/- " 7 Returns to Ajay Rs. 150/- " 8 Purchased goods from Hari Rs. 3,500/- " 9 Returns from Rahul Rs. 250/- " 12 Sold goods to Govind Rs. 600/- " 13 Returns to Hari Rs. 100/- " 15 Purchased goods from Kaveri Rs. 900/- " 20 Returns from Govind Rs. 50/- V. Answer the following questions: (1 x 10 = 10) 22. Prepare three column cash book from the following. 2003 November 1 Cash in hand 10,000 Cash at bank 6,000 " 4 Cash Sales 7,500 " 6 Issued a cheque to Kranthi 1,950 Discount 50 " 7 Received cash from Revathi 4,900 Cheque 2,000 Discount 100 (Cheque deposited with bank) " 12 Cash withdrawn form bank for office use 3,500 " 20 Paid salaries by cheque 2,000 VI. Answer any five of the following questions: (5 x 2 = 10) 23. Define Accountancy 24. Draw the proforma of Petty Cash Book 25. Contra entry 26. Write Journal entries in the books of Sameer. 2003 Rs. March. 9 Started business 10,000 11 Cash Sales 2,000 13 Withdraw cash for personal use 1,500 15 Sold plant and machinery 3,000 27. Prepare Opening Entry Cash in hand 2,000 Cash at bank 4,000 Sundry Debtors 8,000 Sundry Creditors 6,000 Buildings 25,000 Bills payable 10,000 Furniture 12,000 28. Creditors. 29. Trade Discount 30. Capital. VII. Answer the following question: (1 x 20 = 20) 31. Prepare triple column Cash Book of Rehan. 2010 Mar. 1 Cash in Hand 1,600/- " 1 Cash in Bank 2,500/- " 5 Cash Purchases 1,000/- " 7 A Cheque received form Mamta 1,980/- Discount Allowed 20/- " 9 The cheque from Mamta deposited into bank 1,980/- 13 Cash Sales 3,000/- " 15 Paid to Kamal (in full settlement of Rs. 900) 860/- " 17 Received the interest by a cheque 250/- " 19 Paid for postage 75/- " 23 Withdraw cash for office use 800/- " 26 Cash Sales 500/- " 27 Wages paid in cash 1,000/- " 30 Paid in the Bank 2,500/- ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs COMMERCE PAPER II Marks: 100 PART A I. Answer any two of the following not exceeding 40 lines each (2 x 10 = 20) 1. What is district forum? Explain its powers & functions. 2. Explain the services provided by wholesaler to producer, retailer. 3. Explain the functions of Marketing. II. Answer any four of the following not exceeding 20 lines each (4 x 5 = 20) 4. Explain the problems of Foreign Trade. 5. Explain the importance of Indent House 6. Explain the positive effects of advertising. 7. What is advertising copy? Explain the features of advertising copy. 8. Explain main benefits of “S.E.Z”. 9. What are the reasons for the backwardness of consumer movement in India. III. Answer any five of the following in five lines. (5 x 2 = 10) 10. Bonded warehouse. 14. Exim Policy. 11. Unit Stores. 15. ISI mark. 12. E.P.Z 16. Departmental Stores. 13. Consumer rights 17. Letter of Credit. PART B IV. Answer any two of the following questions: (2 x 5 = 10) st 18. Mr. Kiran commenced his business on 1 April, 2009 with a capital of Rs. 18,000. On 31st March 2010 his position was as follows: Stock Rs. 4000; Debtors Rs. 5500; Cash at Bank Rs. 7000; Cash in Hand Rs. 2000; Machinery Rs. 8000; Bills receivable Rs. 1000; Creditors Rs. 2,500; Bills Payable Rs. 850; During the year, Kiran introduced Rs. 7,500 towards further capital and his drawings were Rs. 6,400. You are required to prepare a statement showing profit or loss made by Mr. Kiran 19. Write the differences between Double Entry system & Single Entry System. 20. A firm purchased a Machine on January 1, 2001 for Rs. 30,000. The machine was sold on June 30, 2007 for Rs. 8,000. Prepare machinery account @ 10% under Fixed Installment Method. 21. Differentiate between consignment and sale. V. Answer any one of the following (1 x 10 = 10) 22. From the following Receipts and Payments A/c of Delhi Sports Club of Hyderabad, prepare Income and Expenditure account for the year ended on 31-12-2008 Receipts and Payments A/c for the year ended on 31-12-2008 Receipts Rs. Payments Rs. To Subscriptions 10,500 By Cricket expenses 6,800 (Including Rs. 500 for 2009) By Staff salaries 4,400 To Cricket receipts 8,000 By Rent 1,700 To Entrance fees 2,000 By Gardening 1,000 To Interest on investment 1,000 By Investments 5,000 To Sale of grass 400 By Furniture 3,200 To Life membership fee 5,000 By Balance C/d 4,800 26,900 26,900 Adjustments: a) Subscriptions receivable for 2008 Rs. 1,000 b) Outstanding salaries Rs. 600 OR 23. Charan in Hyderabad sends 150 radios on consignment to Arun of Bidar. Cost of each radio is Rs. 600. But its invoice is Rs. 800. Charan paid Rs. 750 towards packing and dispatch. Arun receives the consignment and immediately accepts Charan draft for Rs. 30,000. Later Arun informs that 120 radios have been sold at Rs. 900 each. He paid expenses on freight Rs. 1,750. He is entitled to a commission of 5% on sale and 2% of delcredere commission. Prepare necessary Accounts in the books of Charan. VI. Answer any five of the following questions: (5 x 2 = 10) 24. Define statement of Affairs. 25. Calculate depreciation Original cost of the Asset Rs. 20,000 Residual value Rs. 1,500 Installation expenses Rs. 5,000 Estimated life 10 years 26. Revenue Expenditure 27. Delcredere commission 28. Find out the profit from the following particulars Capital as on 31-03-2010 Rs. 85,000 Capital as on 01-04-2009 Rs. 60,000 Capital introduced during 2009-2010 Rs. 7,000 Drawings made during the 2009-2010 Rs. 5,000 29. Account sales 30. Legacy 31. Write the formula for finding depreciation under F.I.M. VII. Answer the following (1 x 20 = 20) 32. Hari consigned goods of value Rs. 8,000 to Tarun and invoiced the same at 25% above cost. Hari paid Rs. 300 for freight and Rs. 100 for Insurance on the consignment. He drew on Tarun a bill for Rs. 6,000 as advance against the consignment. He received an account sale showing the ¾th of the goods were sold for Rs. 8,600 and Tarun’s expenses were amounted to Rs. 300 and his commission amounted to Rs. 500. Tarun Sent draft for the balance. Give journal entries necessary accounts in the books of Hari & Tarun. OR 33. From the following Receipts & Payments A/C of Hyderabad Friends Club. Prepare Income & Expenditure for the year 31-3-09 Receipts and payments Account Receipts Rs. Payments Rs. To Donation 40,000 By Salaries 50,000 To Subscription 1,10,000 By Printing & Stationery 8,000 To Life members fees 50,000 By Office Expenses 7,500 To Legacies 35,000 By Rent & Taxes 36,000 To Tournament fund 38,000 By Postage 9,000 To Entrance fee 6,000 By News Papers & Magazines 2,000 By Sports material Purchased 6,500 By Furniture 30,000 By Government Bonds 20,000 By Investments 60,000 By Balance c/d 50,000 2,79,000 2,79,000 Additional information: 1. Subscriptions outstanding for the year 2007 -08 Rs. 3,000 for 2008-09 5,000. 2. Outstanding salaries for the year 2008-09 Rs. 8,000. 3. Sports material opening Balance 4,000 and closing Balance 8,500. 4. Outstanding office Expenses Rs. 1,000. 5. Prepared Rent 2,500. 6. Capitalise the Donations received. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs ENGLISH PAPER II Marks: 100 Section – A I. Annotate any two of the following in about 10 to 15 lines each: (2 x 4 = 8) a) The first thing I have learnt is that we must always begin with our strengths. b) “The simplest thing will be for you to go of your own accord, and then the question won’t arise”. c) You must open the windows of your mind, but you must not be swept off your feet by the breeze. d) “You don’t have to understand. What you’re taught, just be able to repeat it in the exams ” II. Annotate any two of the following in about 10 15 lines each: (2 x 4 = 8) a) I’ve seen the wonders of the world not yet one common man. b) “I wish that I could give you something…. But I have nothing left” c) “With this equipment they all began, so start from the top and say I can”. d) You are the handicap you must face, you are the one who must choose you place”. III. Answer any two of the following in 10-15 lines each: (2 x 4 = 8) a) ‘Remember, those who win are those who believe they can’ Is this true? How can one achieve one’s goals according to Azim Premji? b) What is health mania and what are the different things people do to remain healthy? c) Did Einstein succeed in learning school? How? d) What would be a sensible approach to health according to Leacock? IV. Answer any two of the following questions in about 10-15 lines each: (2 x 4 = 8) a) ‘All men are created equal is a well known statement made by Thomas Jeffer Son. Does the poem ‘Equipment’ corroborate this? b) The Giving tree is a celebration of unconditional love. Illustrate. c) We all belong to one race in the world namely, the human race. How does the poet Mayar Angelou justify this statement in the poem? ‘Human Family’ d) Describe the relationship between man and nature as described in the poem’ The Giving Tree’? V. Answer any One of the following questions in about 25-30 lines each: (1 x 8 = 8) a) Bring out the contrast in the characters of snowball and Napoleon? b) Write a character sketch of Napoleon? c) Give a character analysis of squealer the pig? Section – B VI. Read the following passage carefully and answer the questions that follow? (5 x 1 = 5) She saw her grandchildren using computers and developed a craving to beat them at it. When she first walked in to enroll herself, the teachers fell off their chairs at the state sponsored e-literacy camp in her village. But within days. She took to the mouse and keyboard like a fish to water. Rosakutty is India’s only and perhaps the world’s oldest computer student. And her indomitable spirit is the key to her long life, say gerontologists. For, unlike most centenarians. Rosakutty doesn’t have enormously healthy habits. She doesn’t thrive on greens and fruits. For her, no meal is complete unless there’s some spicy fish, chicken, lamb or beef curry with it. What’s more, she’s hooked on snuff and smokes the occasional beedi. Yet she has no illnesses, bathes herself, walks few miles a day without effort and does small chores in the kitchen efficiently. Questions: 1. What is special about Rosakutty’s enrollment in the computer couse? 2. What is the y key to Rosakutty’s long life? 3. Name two physical activities that Rosakutty perform without help? 4. State True or False - Rosakutty took to computers like a fish to water. 5. The passage suggest that : (Choose the best answer) i) though Rosakutty is very old, she is keen on learning new things. ii) Rosakutty does not like taking computer courses. iii) Rosakutty always depends on others. VII. Read the following passage carefully and answer the questions that follow : (5 x 1 = 5) All through that summer the work of the farm went like clockwork. The animals were happy. Every mouthful of food was pleasure, it was truly their own food, produced by themselves and for themselves, not doled out to them by a grudging master. With the worthless human beings gone, there was more for everyone to eat. They met with many difficulties too while farming-but the clever pigs and strong Boxer always pulled them through. Boxer was the admiration of everybody. There were days when the entire work of the farm seemed to rest on his mighty shoulders. From morning to night he was pushing and pulling, always at the spot where the work was hardest. His answer to every problem was “I will work harder.” That was his personal motto. Questions: 1. Why were the animals happy? 2. Who helped them overcome the problems in farming? 3. Who was Boxer? 4. Why did all the animals admire him? 5. What was Boxer’s personal motto? VIII. Study the advertisement and answer the questions that follow: (5 x 1 = 5) 1) What has been placed on the table? 2) Who has issued the advertisement? 3) How many precautions have been listed? 4) What kind of water should be used for cooking and cleaning? 5) What kind of food should always be served? IX. Read the bar diagram carefully and answer the questions that follows: (5 x 1 = 5) 1) How many subjects have been taken into account? 2) Who got the highest marks in Maths? 3) In which subject did Arvind and Arman get the same marks? 4) Who got almost the same marks in all the subjects? 5) Who got the least marks in English? X. Write a letter to the Principal of your college asking for transfer, bonafide and conduct certificates. (1 x 5 = 5) Hints : Passed Intermediate – joining Engineering college – TC – Bonafide – conduct certificates request for issue. OR Write a letter to your father requesting him to send you some money to do a course in English. Hints : Importance of proficiency in English – details of the course – need for money – request. XI. Write a short paragraph of about 8 lines describing the process of painting a newly constructed house. (1 x 5 = 5) OR Write a short paragraph of about 8 lines describing the process of getting a driver’s licence. XII. Prepare a Curriculum Vitae using the following information : (1 x 5 = 5) Jacob Rajkumar, 20 years, Diploma in Electronics – 75% marks – Govt Junior College, Vijaywada – SSC, Govt Boys School, Vijaywada – 85%, applying for computer operators post – Shankar Technologies, Kukatpally , Hyderabad. XIII. Fill in the Bank Pay – in – Slip form based on the following information: (It is not necessary to draw the form. Write the numbers 1 to 10 and the corresponding answers). (10 x ½ = 5) Mr. T.S.K. Rao credited a sum of Rs. 1000/- (in denomination of one hundered rupee notes) today to His SB account no. 1012346876 at Market Street Branch of Andhra Bank, Siddipet. XIV. Construct a dialogue between two friends regarding the results of the Intermediate Public Examination. (1 x 5 = 5) OR Construct a dialogue between a teacher and a student who has not done his English homework. XV. Read the following passage and made notes: (1 x 5 = 5) Cell phones, a wonder of technology, are used to report emergencies, locate directions, call home, message friends, do business from the park or golf course. Life without them is now difficult to imagine. But Cellphones have been proven deadly if employed while driving a vehicle or walking down the street. The mistakes that cellphone users make are many and varied. It may be as trivial as getting off the wrong floor from a lift; or as serious as fatally falling down a flight of stairs. And most common of all: people getting knocked down by all kinds of vehicles. We should promote safety by following some rules. Never use a cellphone while driving, or while crossing or walking along a road. Always stop your vehicle carefully before you answer the phone. If you’re on a busy road where you can’t stop, and your phone rings, it is best to miss that call. If you get calls constantly, ask your service provider to activate voicemail-which will say that you’ll return the call later. If you have a passenger, place the phone where he or she can answer it for you. Whether you are in a taxi, bus, your own car or a friend’s, you must stop any driver from speaking on the phone while driving. XVI. Match the words with their meanings/definitions. (5 x 1 = 5) i) atheist { } a. agreement of opinion among different group and parties. ii) avaricious { } b. a great lover of books iii) indefatigable { } c. a person who does not believe in God or deities iv) consensus { } d. incapable of getting tired v) exonerate { } e. extremely desirous of money f. free someone from blame or guilt g. a pardonable offence. XVII. Mark the stress for any five of the following words: (5 x 1 = 5) i. circle vi) majority ii. effect vii) utilize iii. mother viii) responsibility iv. poetry ix) origin v. computer x) domestic ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs ENGLISH PAPER I Marks: 100 Section – A I. Annotate any two of the following: (2 x 4 = 8) a) It is thinking differently or doing something that might be quite novel and un conventional in nature. b) In most real life situations, the pieces are not given, we just assume they are there are assume certain perceptions concepts and boundaries. c) Though I was not keen on taking up the job, I saw it as a challenge’. d) “ But I am surprised how a company such as Telco is discriminating on the basis of gender” II. Annotate any two of the following: (2 x 4 = 8) 1. For without words, in friendship, all though all desires, all expectations are born and shared, with joy that is unacclaimed. 2. For in the dew of little things the heart finds its morning and is refreshed. 3. It rots the sense in the head. It kills imagination dead! It clogs and clutters up the mind! 4. They sit and stare and stare and sit, Until they’re hypnotized by it, Until they’re absolutely drunk, With all that shocking ghostly jungle. III. Answer any two of the following in 10-15 lines each: (2 x 4 = 8) 1. Explain the difference between lateral and logical thinking. 2. ‘Lateral thinking is creative or non linear thinking’. Provide instances from the essay to support this statement. 3. Sudha Murthy was extremely determined and resolute. Justify this statement. 4. Why did Sudha Murthy not feel nervous at the interview? Explain IV. Answer any two of the following questions in about 10-15 lines: (2 x 4 = 8) 1. How does television kill one’s imagination? 2. “Who finds a faithful friend, finds a treasure”. This is a jewish saying do you agree? Base your answer on Khalil Gibran “On Friendship”. 3. Describe how children spent their leisure time in the past and how they spend it now? 4. “A true friend is some one who thinks that you are a good egg even though he knows that you are slightly cracked”. Said Berhard Meltzer list all the qualities a true friend should have, according to Khalil Gibran? V. Answer any one of the following questions in about 25-30 lines: (1 x 8 = 8) 1. Did Bob and wells value their friendship? How do you know? 2. Datta found a solution to his problem. Did at really work for him? 3. What is the moral of the story that the bachelor narrated? How is the story going to create problems for the aunt? Section – B VI. Read the following passage carefully and answer the questions that follow? (5 x 1 = 5) One day in primary school the teacher told our class, ‘Draw a leaf’ and left. Later, as each boy showed him his work, the teacher was furious. When my turn came, he looked at the peepal leaf on my slate and saked, ‘Did you draw this?’ I got scared and said, ‘No sir…’ and started walking backwards, thinking I’d get a slap. But he said, ‘Very good, you’ll become a good artist, ‘and gave me 10 marks our of 10. (from an interview with R. K. Laxman) Questions: 1. What were the children asked to draw? 2. How did the teacher praise the writer of the passage? 3. Write the synonym of ‘furious’. 4. Write the antonym of ‘backwards’. 5. Write True or False: The drawing talent of the writer was recognized at an early age? VII. Read the following passage carefully and answer the questions that follow? (5 x 1 = 5) A long time ago in China there were two friends, one who played the harp skillfully and one who listened skillfully. When the one played or sang about a mountain, the other would say: “I can see the mountain before us.” When the one played about water, the listener would exclaim: “Here is the running stream!” But the listener fell sick and died. The first friend cut the strings of his harp and never played again. Since that time the cutting of harp strings has always been a sign of intimate friendship. Questions: 1. What happened to the listener? 2. How did the first friend express his grief?? 3. Write a synonym of ‘see’. 4. Write True or False: The two friends understood each other very well. 5. The harp is (choose the best answer): a) a kind of game b) a kind of musical instrument c) a kind of vehicle SECTION - C VIII. Fill in the blanks with a, an and the: (6 x ½ = 3) 1. He is demanding ……………. Apology from the newspaper. 2. Terrorists attacked many places in ………………. city. 3. It was ……………… honour to meet Abdul Kalam. 4. He is ……………….. MBA student from Duke University. 5. Yesterday was ……………. Hottest day of the season. 6. The doctor says that it is …………….. hopeless case. IX. Fill in the blanks with suitable prepositions. (6 x ½ = 3) 1. The boy looked at his mother……………… guidance. 2. He was seated……………. Rahul and Arjun in the theatre. 3. She poured the juice ………….. a tall glass. 4. He swam ……………… the river to reach the other side. 5. ……………….. Telugu, he also speaks Hindi and English. 6. She has been suffering from cancer ………….. January. X. Fill in the blanks with suitable forms of the verbs given in brackets: (5 x 1 = 5) 1. A. R Rehaman ……………. In a concert in Hyderabad next month (perform). 2. The doctor …………. just ……….. the hospital when he was called back (leave). 3. Sachin ……………. very well in the match yesterday (play). 4. The boys ……………… football in the field now (play). 5. He ………………… a lot of work in the house. (do). XI. Rewrite the sentences as directed. (5 x 1 = 5) 1. Someone stole my book from my bag. (Begin the sentence with ‘My book….) 2. Sonal said to me, “I work in this office”. (Change into indirect speech) 3. Very few countries are as developed as Germany. (Change using…. The most developed…) 4. He wanted to sleep. He went into his room. (Combine the sentence using ‘so’.) 5. This problem is easy to solve. (Add a question tag) XII. Rewrite the following sentences correcting the underlined part. The entire sentence must be written . (5 x 1 = 5) 1. He has an unique sense of humour. 2. Jaspreet is loving playing cricket. 3. She have a terrible headache. 4. Do not give me such advices. 5. I haven’t seen him since three years. XIII. Supply the missing letters in the following words: (6 x ½ = 3) 1) c__nd_ mn. 2) anc __ __ nt. 3) bel__ __ ve. 4) a__ gum __ nt 5) c __ len__ ar. 6) sc__ __ nce. XIV. Identify the silent letters in the following words: (6 x ½ = 3) 1) whistle 2) aisle 3) hymn 4) mortgage 5) sword 6) receipt XV. Identify the part of speech of the underlined words: (6 x ½ = 3) 1. Why are you so late to class? 2. What a terrible tragedy. 3. Mr. Manmohan Singh went to England to attend a summit. 4. Mr. Sharma has gone to Delhi for a meeting 5. As he was ill he had to cancel all his appointment. 6. The audience was enthralled by the performance. XVI. Match the words in column A with their meanings in column B: (6 x ½ = 3) Column A Column B 1. fuming (a) carefully observant or attentive 2. ceases (b) to mock or scorn at 3. fancied (c) stops or comes to an end 4. absurd (d) angry, raging 5. vigilant (e) something that is not praised or announced publicly 6. scoff (f) liked (g) unreasonable (h) to move in a lazy relaxed manner XVII. Covert the given information into a bar diagram. (5 x 1 = 5) The price of onions in January was fifteen rupees for a kilo. It rose to eighteen rupees in February and touched twenty five rupees in March. In April it came down to sixteen rupees. OR King Dasharatha had three wives Kausalya Sumitra Kaikeyi Rama Lakshmana Shatrughna Bharata Convey the information in this tree diagram in the form of a paragraph. XVIII. Read the following transcriptions and write any five words in ordinary spelling: (5 x 1 = 5) English Words. 1) /f Iləmənt/ 6) /t∫ekmeIt/ 2) / skΛrI/ 7) / bl ^ d / 3) / rIpΛplsIv/ 8) / flaebI/ 4) / geIpIn/ 9) /stju:pendəs / 5) / kra:ftI / 10) / InfrəstrΛkt ∫ə(r)/ OR “Find the word that is different from the other two words in the group with regard to the sound of the underlined letters. 1. pressure press stress 2. chat yacht chip 3. silk salt sugar 4. feather weather mathematics 5. cinema cat comedy XIX. Write the number of syllables for any SIX of the following words. (6 x ½ = 3) 1. peer 2. ancestral 3. googly 4. bikering 5. clink 6. relentless 7. principal 8. avidly 9. insolently 10. avert XX. Complete the following dialogue: (4 x 1 = 4) Geetha : This has been one __________ summers that I have even seen Rama : Yes, it has been very hot. Lets ___________ shall we? Geetha : Sure, ___________ to drink would be welcome. Rama : How about some sugarcane juice? Geetha : ______________________. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs MATHEMATICS PAPER - I B Marks: 75 SECTION - A Very Short answer type questions. Attempt all questions. Each question carries two marks. (10 x 2 = 20) 1. Find the condition for the points (a, o) (h, k) and (o, b) where ab ≠ 0 to be collinear. 2. Find the distance between 5x - 3y – 4 = 0, 10x - 6y – 9 = 0. 3. Find the equation of locus of a point which is 5 units distant from (-2, 3) 4. Find the value of K1 if the straight lines 6x – 10y + 3 = 0 and Kx – 5y + 8 = 0 are parallel. lim 5. Find x → 0 1+x-1 x 6. Find the equation of the straight line passing through (-2, 4) and making intercepts whose sum is zero. lim 1 – cos2mx 7. Compute x → 0 sin2nx 8. Show that the lines 2x + y – 3 = 0, 3x + 2y – 2 = 0 and 2x – 3y – 23 = 0 are concurrent. lim ex - 1 9. Compute x → 0 √1 + x -1 10. Find the value of K if the straight lines 6x - 10y + 3 = 0 and Kx - 5y + 8 =0 are perpendicular. SECTION B Short answer type questions. Attempt any five questions. Each question carries 4 marks. (5 x 4 = 20) 11. Find the value of P if the lines 4x – 3y – 7 = 0, 2x + py + 2 = 0, 6x + 5y – 1 = 0 are concurrent. 12. If p and q are the lengths of the perpendicular from the origin to the lines x Sec + y Cosec = a and x Cos - y Sin = a Cos 2, then show that 4p2 + q2 = a2 13. If the transformed equation of the curve is x2 + 3xy – 2y2 + 17x – 7y – 11 = 0 when the origin is shifted to (2, 3), then find the original equation. 14. Find the equation of locus of P if A = (2, 3), B = (2, -3) and PA + PB = 8 15. Transform the equation x/a + y/b = 1 into the normal form when a>0, b>0 if the perpendicular distance of the straight line from the origin is P, deduce that 1/p2 = 1/a2 + 1/b2. 16. Transform the equation x + y + 2 = 0 into (a) slope – intercept form (b) intercept form and (c) normal form 17. Find the equation of the straight line passing through the point (-4, 5) and cutting off equal intercept on the axes. SECTION C Long answer type questions. Attempt any five questions. Each question carries 7 marks. (5 x 7 = 35) 18. A (1, 2), B (2, -3) and C (-2, 3) are three points. A point P moves such that PA2 + PB2 = 2PC2. Show that the equation of locus of P is 7x – 7y + 4 = 0 19. When the axes are rotated through an angle II/4, find the transformed eq. of 3x2 + 10xy + 3y2 = 9. 20. Find the orthocentre of the triangle whose sides are x + 2y = 0, 4x + 3y - 5 = 0 and 3x + y = 0. 21. If the equation S = ax2 + 2hxy + by2 + 2gx + 2 + y + c = 0 represents a pair of parallel straight line then (i) h2 = ab (ii) af2 = bg2 and (iii) the distance between the parallel lines = 2 √ g2 – ac = 2 √ f2 – bc a (a + b) b (a + b) 22. Find the circumcentre of the triangle whose sides are x + y + 2 = 0, 5x - y - 2 = 0, x – 2y + 5 = 0 23. Show that the straight line joining the origin to the point of intersection of the curve x2 – xy + y2 + 3x + 3y - 2 = 0 and the line x – y - √2 = 0 are perpendicular. 24. Show that the straight line represented by 3x2 + 48xy + 23y2 = 0 and 3x – 2y + 13 = 0 form an equilateral triangle of area 13/√3 sq. units. ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs MATHEMATICS PAPER II B Marks: 75 SECTION – A Attempt all questions. Each question carries two marks. (10 x 2 = 20) rd x 1. Find the 3 derivative of e cosx. 2. Find the nth derivative of f(x) = log (8x3 + 36x2 +54x + 270). 3. Evaluate ∫ cot2x dx (ax – bx)2 4. Evaluate ∫ ax bx 5. Evaluate ∫ 1 dx. x log x [log (log x) 6. Evaluate ∫ (tan x + log sec x) ex dx. 2 7. Evaluate ∫ | 1 - x | dx. 0 П/2 8. Evaluate ∫ Cos11 x dx. 0 9. Find the area bounded by the curve y = x2, y = x3. 10. Find the area bounded by the curve | x | + | y | = 1 SECTION B Attempt any five questions. Each question carries four marks. (5 x 4 = 20) 11. Evaluate ∫ log (1 + x2) dx 12. Evaluate ∫ x tan-1x dx 13. Evaluate ∫ dx 5 + 4 cos x 9 cos x – Sin x ∫ 14. Evaluate dx 4 sin x + 5 cos x П/2 15. Evaluate dx ∫ 4 + 5 cos x 0 П/4 16. Evaluate sin x + cos x ∫ 9 + 16 six 2x 0 4 17. Evaluate ∫ | 2 – x | dx 0 SECTION C Attempt any five questions. Each question carries seven marks. (5 x 7 = 35) then show that (1 – x ) y2 – xy1 – y = 0 and hence deduce that (1 – x ) yn+2 – (2n + 1) xyn+1 – (n2 + 1) Sin-1x 18. If y = e 2 2 yn = 0. 19. If y = cos (m log x) then show that x2y2 + xy1 + m2y = 0 and hence deduce that x2yn+2 + (2n + 1) xyn+1 + (m2 + n2) yn = 0 ∫ 20. Evaluate cos x + 3 Sin x + 7 dx cos x + sin x + 1 ∫ 21. Evaluate dx 4 cos x + 3 sin x П/2 22. Evaluate x dx = П log (√2 + 1) 0 ∫ Sin x + Cos x 2√2 П 23. Evaluate ∫ x sin x dx 0 1 + sin x 1 24. Find approximate value of П from ∫ 1 / 1 + x2 dx using Simpson’s rule by dividing [0, 1] into 4 equal parts. 0 ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs MATHEMATICS PAPER I A Marks: 75 SECTION – A I. Answer all the questions: [10×2=20] 1. If A={ 0, , , , } and f: A B is a surjection defined by f(x)= cos x then find B. 6 4 3 2 2. Find the inverse of the function f:R (0, ∞), f(x)= 5x. 3. Find the domain and range of the real valued function f(x)= 9 x2 4. Prove that cot cot 3 cot 7 cot 9 =1. 20 20 20 20 5. Find the period of the function cos 4x 9 5 0 0 1 1 6. Find the value of sin282 -sin222 . 2 2 7. If cos + sin =√2 cos , prove that cos - sin = √2 sin a b c 8. If then show that ABC is an equilateral triangle. cos A cos B cos C 9. In ABC, prove that r1+ r2+ r3 –r= 4R. 1 1 1 1 10. In ABC, prove that r1 r2 r3 r SECTION - B II. Answer any five questions: [5×4=20] 1. If f: QQ is defined by f(x)=5x+4 for all x€Q, show that f is a bijection and find f-1. 3 5 7 3 2. Prove that sin4 + sin4 +sin4 +sin4 = . 8 8 8 8 2 1 3 3. Prove that 4. 0 sin10 cos100 3 5 7 4. Prove that (1+ cos )( 1+ cos )(1+ cos )(1+ cos ) = 1/8 8 8 8 8 2 bc 5. If a=(b-c) sec , prove that tan = bc 6. If a:b:c=7:8:9, find cos A: cos B: cos C. r 7. Show that cos A+ cosB + cos C=1+ R SECTION - C III. Answer any five questions: [5×7=35] 1. If f: A B is bijection, then f-1of = IA, fof-1 = IB. 2. If f: A B, g: B C are two bijections then (gof)-1 =f-1og-1. 13 13 23 13 23 33 n 3. Show that ……… up to n terms = (2n2+9n+13). 1 1 3 1 3 5 24 A B C A B C 4. If A, B, C are angles of a triangle, then prove that sin2 + sin2 + sin2 =1-2 cos cos cos 2 2 2 2 2 2 A B C A B c 5. In triangle ABC, prove that cos + cos - cos = 4 cos cos cos . 2 2 2 4 4 4 6. If a=13, b=14, c=15, show that R= 65/8, r=4, r1=21/2, r2=12, r3=14. 7. A pillar is leaning towards East and and are the angles of elevation of the top of the pillar from two points due West of the pillar at a distance a and b respectively. Show that the angle between the pillar and horizontal is tan 1 ba b cot a cot ST. JOSEPH’S EDUCATIONAL INSTITUTIONS Street No. 8, Gowda Hostel Complex, Himayathnagar, Hyderabad. Opp. Hyundai Showroom, Tolichowki ‘X’ Road, Hyderabad QUARTERLY EXAMINATIONS – 2011 Time: 3 Hrs MATHEMATICS PAPER II A Marks: 75 SECTION – A I. Answer all the questions: [10 x 2 = 20] 1. If x2-15-m(2x-8)=0 has equal roots, find m. 2. If α, β are the roots of ax2+bx+c=0 then find the values of (I) 1 1 (II) 12 12 3. If α, β, 1 are the roots of x3-2x2-5x+6=0 then find α, β. 4. Solve the equation 4x3-24x2+23x+18=0, the roots being in A.P. 5. Definition of Transpose, Symmetric, Skew- Symmetric matrix. 6. If A= 2 4 and A2=0, find k. 1 k 7. Obtain the values of x for which the binomial expansions are valid (I)(2 + 3x)-2/3 (II). (7 + 3x)-5 10 8. Find the term independent of x in the expansion of x 5 2 7 x 9. Resolve into partial fractions. 5x 1 ( x 2)( x 1) 10. Resolve into partial fractions. If 2 x 3x 4 A Bx C 2 2 x 1 x 2 2 x 1 x 2 II. Answer any FIVE questions: [5 x 4 = 20] x 1 1. If x is real prove that lies between - and 1. x 5x 9 2 11 x p 2. If takes all real values for x ∈ R, show that 1 < p<2. x 3x 2 2 3. Show that the condition that the roots of x3+3px2+3qx+r=0 may be in A. P. is 2p3-3pq+r=0. 4. Solve the equation x4+x3-16x2-4x+48=0, the product of two of the roots being 6. 5. Find the adjoint and inverse of the matrix 2 1 2 1 0 1 2 2 1 6. If A= cos sin then show that AAT = A A = I T sin cos x3 7. Resolve into partial fractions ( x a) x b x c III. Answer any FIVE questions: [5 x 7 = 35] 5 4 3 2 1. Solve the reciprocal equation 2x +x -12x -12x + x+2=0. 2. Solve the equations by Gauss-Jordan method. x + y + z =9, 2x + 5y + 7z = 52, 2x + y – z = 0 3. Solve the equation by matrix inversion method 3x + 4y + 5z = 18,2x – y +8z = 13,5x – 2y + 7z = 20 a b c 2bc a 2 2 c2 b2 4. Show that the determinant of b c a c 2 2ac b 2 a 2 = (a3 +b3 +c3-3abc) 2. c a b b2 a2 2ab c 2 5. Find the values of a, x and n if the 2nd, 3rd and 4th terms in (a +x)n are 240,720 and 1080 respectively. 6. Show that 3.5 3.5.7 3.5.7.9 ..... 5 5 8 5.10 5.10.15 5.10.15.20 3 3 5 1 1.3 1.3.5 7. If x= ..... , then show that 3x2+6x =2. 5 5.10 5.10.15

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