Daratassalam International, Delhi Public School Riyadh

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مدارس دارۃ السالم العالمية- الرياض Daratassalam International, Delhi Public School Riyadh Summer Holiday Homework (2018) Grade: XII SUBJECT: ENGLISH 1.

1 مدارس دارۃ السالم العالمية- الرياض Daratassalam International, Delhi Public School Riyadh Summer Holiday Homework (2018) Grade: XII SUBJECT: ENGLISH 1. Design and prepare a poster on PERSONALITY DEVELOPMENT, as an appeal to develop the charm and dynamism for the personality of the students of the school, mentioning all the requisite features. (Use a chart) 2. Read the novel THE INVISIBLE MAN by HERBERT GEORGE WELLS as prescribed by CBSE and write a short summary of the entire plot and highlight any one of the important characters that fascinates you the most. {Word Limit } 3. Write an article each on the following topics. {Word Limit } 1 Impact of Automation on Employment Opportunities in India 2 Sports in India: Problems and Preventive Measures 3 Tourism in India Current Status, Opportunities and Challenges 4 Student Diversity in the Classroom of International Standard Schools 5 Women in Military: Yes or No? 4. Write all the CLASSIFIED and COMMERCIAL advertisements under the following titles. {Word Limit-50 words} 1. Health & Physical Fitness 2. Situation Vacant 3. Matrimonial 4. Travel & Tours 5. Lost & Found 6. To Let 7. Horticulture 8. For Sale 9. Interior Decoration 10. Motor Vehicle 5. Solve two past years Board Exam papers and write you answers in ruled A4 size sheets PLEASE NOTE: The written assignment must be completed in a neat legible handwriting in a separate English Holiday Homework folder. Page 1 of 7

2 SUBJECT: MATHEMATICS 1. Let R be a relation defined on Z such that R= {(a,b): a,b Z and. Check for reflexivity, symmetricity and transitivity. 2. Prove that a relation R on a set A is symmetric iff R=R Let A = {x R : -1 Show that f : A given by f(x) = x is a 1-1 and onto function. 4. Show that f :R {0} R {0} given by f(x)= is invertible and it is the inverseof itself. 5. Let * be the binary operation on R the set of all real numbers defined by a*b =. Show that * is commutative. 6. Find the principal value of i) ii) iii) 7. Find the value of each of the following i) - iv) 8. Prove that ii) ) + ) iii) Prove that 4 [ ) ]= 10. Solve the equation = 11. Simplify the following + - diagonal 12. Find the value of x such that = Using elementary transformations find the inverse of (1) (2) 14. If A = and A 3-6 A A + k I3 = 0. Find k. 15. Prove that is independent of x. 16. Evaluate 17. Prove that = - ( a 3 + b 3 ) 2 Page 2 of 7

3 18. Show that = 2abc (a+b+c) If A = Find A -1 and Hence solve x + 2y +z = 4, -x + y +z = 0, x - 3y + z =2 20. Determine the product and using it solve x + y +2z = 1, -x -2y +z =4, x-2y+3z = If f(x) = is continuous at x = 0. Find the value of k. 22. Differentiate the following wrt x i. y = ii. y = 23. Find when 1. + = 2. x 3 y 2 = Differentiate the following 1. ) 2. - ) Given that. cos( ) = Prove that If x = a sec 3 y = a tan 3 Find at 27. The volume of a cube is increasing at a constant rate. Prove that the increase in surface area varies inversely as the length of edge of the cube. 28. Show that f(x) = is strictly increasing function on the interval (0, ) 29. Find the points on the curve x 2 +y 2-2x -4y +1 =0 at which the tangent is parallel to x axis. 30. Find the maxima and minima of sec x +log(cos 2 x) 31. Show that the height of the right circular cylinder of maximum volume that can be inscribed in a cone of height H is 32. A rectangle is inscribed in a semicircle of radius r with one of its sides on diameter of semicircle. Find the dimensions of the rectangle so that its area is maximum. Find the maximum area also. 33. The cost of fuel for running a train is proportional to the square of the speed generated in km/hr. It cost Rs 48 /hr when the train is moving at the speed of 16km/hr. What is the most economical speed if the fixed charges are rupees 300/hr over and above the running cost? Page 3 of 7

4 SUBJECT: PHYSICS A. Completion of Physics investigatory project. B. Completion of Record book writing work. C. Solve the Following: 1. A Circular coil of radius R carries a current I. The magnetic field at its center is B. At what distance on the axis of this coil the magnetic field isb/8. 2. Three point charges +q each are kept at the vertices of an equilateral triangle of side l. Determine the magnitude and sign of the charge to be kept at its centroid so that the charges at the vertices remain in equilibrium. 3. A jet plane is travelling west with a speed of 450m/s. If the horizontal component of earth s magnetic field at that place is 4x10-4 T and angle of dip is 30 0,find the induced emf between the ends of wings having a span of 30m. 4. State lenz slaw.two identical loops one of copper and the other of aluminium, are rotated with the same angular speed in the same magnetic field. Compare (i)the induced emf and (ii) the current produced in the two coils. Justify your answer. 5. Three identical samples of Nickel, Aluminium and Antimony are kept in a non-uniform magnetic field.draw the modified field lines in each case.justify your answer,which of these has very high positive permeability and negative susceptibility. 6. a)an electron and a proton, moving parallel to each other in the same direction withequal momenta, enter into a uniform magnetic field which is at right angles to their velocities. Trace their trajectories in themagnetic field (which is emerging out of the plane of the paper). 7. A straight wire of mass 200g and length 1.5m carries a current of 2A. It is suspended in mid-air by a uniform horizontal magnetic field B.What is the magnitude of the magnetic field? 8. A resistor of 200Ω and a capacitor of 15μf are connected in series to a 220 V,50 Hz ac source.(a)calculate the current in the circuit; (b) Calculate the rms voltage across the resistor and the capacitor. Is the algebraic sum of these voltages more than the source voltage? If yes, resolve the paradox. 9. A step up transformer at the power generating station has a transformation ratio of and an efficiency of 60%. It generates a power of 10MW at 220V.Find (i) the output voltage (ii) Output power. Also find the input and output currents. The power is transmitted to a substation and the transmission loss is found to be 40%. Find the power received at the substation. 10. A circuit containing an 80 mh inductor and a 250 μf capacitor in series connected to a 240 V, 100 rad/s supply. The resistance of the circuit is negligible. (i) Obtain rms value of current. (ii) What is the total average power consumed by the circuit? Page 4 of 7

5 SUBJECT: CHEMISTRY 1. COMPLETE THE EXERCISE QUESTIONS IN THE CHAPTERS TAUGHT IN CLASS. DOWNLOAD THE EXEMPLAR QUESTIONS FOR THE SAME CHAPTERS AND ANSWER IT IN NOTEBOOK. 2. COMPLETE THE RECORD NOTEBOOK FOR THE PRACTICALS WHICH YOU HAVE DONE IN OUR LAB. PREPARE A DISTINCT PROJECT WORK OF YOUR INDIVIDUAL INTEREST (LISTED OUT IN MANUAL). 3. PREPARE A SEMINAR LECTURE ON YOUR FAMILIAR CHAPTER. VISIT A SMALL-SCALE CHEMICAL INDUSTRY AND MAKE A REPORT ON POWERPOINT PRESENTATION WITH PHOTOS OR VIDEOS. INCLUDE YOUR POINTS OF ENVIRONMENTAL ISSUES ON EXPULSION OF GASES. 4. MAKE A CARBON-BASED CASE STUDY REPORT ON YOUR HOMETOWN S AIR POLLUTION. 5. MAKE A CASE STUDY REPORT ON PLASTIC WASTAGES. VISIT THE DUMPED AREAS IN YOUR HOMETOWN FOR YOUR AWARENESS ACTIVITY TOWARDS PLASTIC MISUSAGES. SUBJECT: BIOLOGY Prepare the project on topic assigned. SUBJECT: COMPUTER SCIENCE 1. Revise Chapter 1 to 6 all practice all solved and unsolved questions given in Text Book for the Chapters 1 to Study and Practice Chapter No 7 (File Handling in C++) and Chapter No 14 (Communication Technology) 3. Complete your Lab Manual for first 6 chapters as per guidelines provided. SUBJECT: ECONOMICS Project work : 1. Contribution of IT Sector in Indian Economy 2. Public Health Expenditure in India 3. Demonetization SUBJECT: BUSINESS STUDIES I. Project work : Marketing Management of any new product II. Do the Case Studies of Chapter 1 to 6 Very Short Answer Questions SUBJECT: ACCOUNTANCY 1. How will you settle the capital loss of a partner? 2. Why it is considered desirable to make the Partnership agreement in writing? 3. Do all firms need registration and deed? 4. What do you understand by Super profit? 5. What is Sacrificing Ratio? 6. Give two circumstances in which Gaining Ratio is calculated? 7. What is Purchased Goodwill? 8. Give the formula for calculating Gaining Ratio? 9 What is Realisation Account? 10. What is Hidden Goodwill? Page 5 of 7

6 Short Answer Questions: 11. State the nature of Interest on capital and Interest on Drawings 12. Why is it necessary to have Reconstitution of Partnership? 13. Distinguish between Sacrificing Ratio and Gaining Ratio 14. Why is it necessary to revalue the assets and Liabilities? 15. Name any two factors affecting Goodwill of Partnership firm Short Numerical Questions 16. X and Y are partners in a firm sharing profits and losses in the ratio of 4:3. They admit Z in a firm and the profit sharing ratio among them will be 2:3:1 calculates the Gain or Sacrifice of Old partners. 17. A, B C were partners sharing profits in 3:3; 2. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A and, 1/7 from B and 1/7 from C Calculate new profit sharing ratio. 18. Abu and Adil were partners in a firm Sharing Profits in the ratio of 3:2. They admit Haseeb as a new Partner for 1/5 Share. Haseeb brings Rs. 30,000 s capital and Rs. 10,000 as premium of goodwill. New profit sharing ratio of partners will be 5:3; 2 Prepare necessary journal entries. 19. K and M were partners in a firm sharing profits in the ratio of 5:3. Their Fixed Capitals were Rs. 3, 00,000 and Rs.2, 00,000. The Partner ship deed provide that, a) Interest on capital should be b) K should be allowed the salary of Rs.40, 000 c) Commission of 5% of the net profit should be allowed to M d) The net profit for the year ended was Rs.2, 00,000 Make Profit and loss Appropriation Account. Long Numerical Questions: 20. Arun, Balu and Kamal are partners in a firm sharing profit and losses in the ratio of 5:3:2 On March , Kamal retires from the business, the balance sheet of the firm Was: Liabilities Rs Rs Assets Rs Rs Creditors Bills payables Outstanding Rent Provision for Legal claims Capital Accounts: Arun Balu Kamal 127,000 90,000 71,000 27,000 13,000 22,500 57,500 Cash at bank Debtors Doub.Debts Stock Furniture Fixtures 2,88,000 4,08,000 4,08,000 On Kamal s retirement it was agreed that: a) Fixtures will be appreciated by 10% and Furniture was depreciated by 20% b) Provision for doubtful debts will be made at5%on debtors. c) Legal claims will be made Rs.60, 000 d) Goodwill of the firm valued at Rs.60, 000 d) Rs.70, 000 from Kama ls capital will be transferred to his Loan account and the balance will be paid to him by cheque. Prepare Revaluation account, Partners Capital accounts and the Balance sheet. Page 6 of 7 20, ,000 19,500 21, ,00,000

7 21. Following is the balance sheet of Ramesh and Suresh 0n 28-February-2005 Liabilities Rs Rs Assets Sundry creditors Bills payables Capital Accounts Ramesh Suresh 30,000 30,000 20,000 40,000 60, ,000 Land and Buildings Furniture Trucks Stock Debtors Cash Rs Rs 40,000 28,000 20,000 10,000 12,000 10,000 1,20,000 On the above date Partners decided to dissolve the firms Ramesh took over the Creditor and Suresh took over The Bills payables Assets are revalued as follows Debtors; Rs.9, 000 Furniture Rs.21, 000, Stock Rs Truck Rs.32, 000 Land and Buildings Rs.60, 000 Realiasation expenses paid by Ramesh were Rs.1200 Prepare Realisation account, Cash Account and Capital accounts of the partners to close the books of the firm. SUBJECT:PHYSICAL EDUCATION Make a project for CBSE Board practical exam and complete the practical record book Page 7 of 7

1.Write a Book Review on The Invisible Man by H.G Wells, as per the format given below and submit in a folder.

CLASS XII (COMMERCE) SUMMER HOLIDAY HOMEWORK ENGLISH SUBMISSION DATE : 27.6.17 1.Write a Book Review on The Invisible Man by H.G Wells, as per the format given below and submit in a folder. S. No. CONTENT