THE ASIAN SCHOOL, DEHRADUN

HOLIDAY HOMEWORK OF WINTER VACATION 2014-2015 FOR CLASS X

English: 1. Read William Shakespeare’s famous play ‘Julius Ceaser’ and also watch the televised/filmed version of it to understand it better and Summarize it in 250 words.

2. Read any one of the following stories and write the summary. a) ‘The woman on platform 8’ by Ruskin Bond. b) Ranji’s wonderful bat’ by Ruskin Bond c) ‘A suitable boy’ by Vikram Seth d) ‘Beastly Tales’ by Vikram Seth

3. You were a part of audience in a debate held in your school on ‘Technology, its effects on modern life’. This set you thinking how the youth today misuses technology. Write a letter in 150 words to the Editor of a newspaper on the dangers of such misuse and how it can be controlled.

Use the following notes : Refer to the unit of science : * Youth easy prey to technology * Effects on health if misused * Waste of money and time

4. Read the second half of the Prescribed Novel. “The Diary of a Young Girl” by Anne Frank. 5. Surf the Internet and try to find the sufferings undergone by the mariners in the silent sea.

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Mathematics: INSTRUCTIONS:

(1) ALL QUESTIONS ARE COMPULSORY (2) MAKE A SEPARATE NOTEBOOK FOR THE HOMEWORK. Q.1 Find area of the triangle whose vertices are (3, 4), (2, 1), (4, 6). Q2. Find the point on x axis which is equidistant from the points (-2, 5) and (2,-3). Q3 Find the coordinates of the point which divides the line joining the points (1,-3) and (-3, 9) internally in the ratio 5:3. Q4.How many three digit numbers are divisible by 8 ? Q5 For what value of k are 3k+2,K+5,2K-7 are the consecutive terms of an A.P. Hence find the A.P. Q6 Solve the equation by using quadratic formulae: x2 +8x +10 = 0 Q7 Find the value of k for which the equation has equal roots: 9x2 – 24x + k = 0 Q8 A train travels 360 km at a uniform speed. If the speed had been 5km/h, more it would have taken 1 hour less for the same journey. Find the speed of the train. Q9 Three vertices of a rectangle are (3, 4), (-1, 2), and (2, -4).Find the coordinates of the fourth vertex. Q10 Find the sum of the series : 4 + 7 + 10 +……………….….….+ 82. Q.11 For the quadratic equation ax2+ bx + c = 0, write the condition for(i) equal roots (ii) imaginary roots?(2) Q12. For the A.P. 1,5,9,13,17………….. write the first term and the common difference. Q13 Find the discriminant of the quadratic equation x2+ 4x + 3 = 0 , and state the nature of the roots. Q14 Find the 20th ,and nth term of the A.P. 2,5,8,11,14…………… Q15. Solve the equation by using quadratic formulae: x2 + 8x + 10 = 0 Q16Find the value of k for which the equation has equal roots: kx2 – 6x +2 = 0 Q17 The 7th term of an A.P. is -4 and the 13th term is -16. Write the A.P. up to first 4 terms. Q18.If the nth term of an A.P. is 2n+1 , write the A.P. and find the sum of the first 16 terms. Q19The angle of elevation of a ladder leaning against a wall is 600 and the foot of the ladder is 10m from the ground. Find The length of ladder . Q20The angle of elevation of the top of a hill at the foot of the tower is 600 and the angle of elevation of the top of the tower from the foot of the hill is 300. If the tower is 50 m high find the height of the tower. Q21A round balloon of radius ‘a’ subtends an angle θ at the eye of an observer while the angle of the elevation of its Centre is β. Prove that the height of the Centre of the balloon is SinβCosecθ/2. Q22 If the angle of elevation of of a cloud from the point h metres above the lake is α and the angle of the elevation of depression of its reflection in the lake is β, prove that the height of the cloud is

. Q23 An aero plane when 3500 m high passes vertically above another aero plane at an instant when the angles of elevation of the aero plane from the same point on the ground are 450 and 300 respectively. Find the vertical distance between the aero planes. Q24At a point on the level ground the angle of the elevation of a vertical tower is found to be such that its tangent is 5/12. oN walking 192m towards the tower , the tangent of the angle of elevation becomes ¾ . Find the height of the tower. Q25The shadow of a tower standing on the ground is found to be 45m longer when the sun’s altitude is 300 than when it was 600. Find the height of the tower. Q26The angle of the elevation of the top of the tower , as seen from two points A and B situated in the same line and at a distance p and q respectively , from the foot of the tower are complementary . prove that the height of the tower is √pqmetres. Q27 A vertical tower stands on a ground and is surmounted by a vertical flagstaff of height h. At a point on the plane , the angle of elevation of the

bottom of the flagstaff is α and that of the top of the flagstaff is β. Prove that the height of the tower is . Q28 The angles of a triangle are in AP. And the greatest angle is twice the the least. Find the angles.

Q29 Find the coordinates of a point which divides the join of the points (a-b, a + b ) and ( a + b, a-b) internally in the ratio of a:b. Q30 Rs.6500 were divided equally among a certain no of persons. Had there been 15 more persons, each would have got Rs. 30less . Find the original number of persons. Q31Prove that the three points (3a,0), (0,3b) and (a,2b) are collinear. Q32The speed of a boat in still water is 11km/hr. It can go 12km upstream and return back to the same point in 2hr 45minutes. Find the speed of the stream. Q33 Solve the equation : √5x2 + (2+ √15)x + 2√3 =0 Q34 Solve by quadratic formulae: ( a + b )2 x2 8 ( a2 – b2 )x + 16 ( a-b )2 =0 Q35Find four numbers in AP whose sum is 20 and the sum of whose squares is 180. Q36 A circle touches all the four sides of a quadrilateral ABCD. Prove that : AB + CD = BC + DA Q37 P rove that the parallelogram circumscribing aa circle is a rhombus. Q38 Prove that the tangent at any point of a circle is perpendicular to the radius at the point of contact. Q 39 What is the length of tangent drawn from a point whose distance from the centre of a circle is 20cmand the radius of circle is 16cm. Q40 Prove that the tangents drawn at the end points of diameter of a circle are parallel. Q41 The angle of elevation of a jet plane from a point on a ground is 600. After a flight of 15sec, the angle of elevation becomes 300. If the jet plane is flying at a height of 1500√3, find the speed of the plane. Q42Two ships are sailing in the sea on the either side of the lighthouse, the angles of depression of the two ships as observed from the top of the

lighthouse are 600 and 450. If the distance between the ships is 200( , find the height of the lighthouse. Q43 If the sum of the n terms of an AP is ( pn + qn2) , find the common difference. Q44 Find the sum of the sequence : 4+3+8+5+12+7………..to 32 terms. Q45Find the sum of all the three digit numbers , which leave the remainder 1 when divided by 4. Q46 find the value of x : (81)9x – (18) 3x +1 = 0. Q47 The numerator of a fraction is 3 more than the denominator. If its reciprocal is subtracted from it the difference is equal to 33/28. Find the fraction. Q48 If the point (x,y) is equidistant from the points (a+b, b-a) and (a-b,a+b ), prove that bx=ay. Q49 Find the coordinates of the point of trisection of the line joining the points (1,-2) and (3,-4) Q50 Find the ratio in which the line 2x + 3y – 30 =0, divides the join of the points (3,4) and (7,8).

Physics: Topics : Make a model on anyone of the following : (i) Electromagnet, (ii) Why do we need the different resources of Energy iii) Human eye –Chart iv) Defect of vision-Chart

Learning Objectives : History, Methodology, Circuit, Block Diagram, Basic Components used for making the model, Advantages of Project, Applications and future work. Source that can be used : 1. Science Magazines 2. Internet 3. Refrence Books Creteria for Evalution : * Aims & Objectives (1), * Methodology (2) , * Resources & Material used (2), * Working Procedure & Circuit/ Block diagram (2), * Analysis & summary (2) , *Bibliography (1) Note : The total length of the Project Report should not be more than 15 written pages.

Chemistry : Make a project report on fossil fuels with samples and highlighting detailed chemistry of these.

Or Flyash a byproduct of Thermal power plant is versatile and a useful product, write a full account of its chemistry and applications.

Or Make a project report collecting 5 different samples of soil highlighting their fertility quotient and give a complete chemistry to explain the increase in fertility of soil (Biochemical aspects).

Evaluations Criteria : 1. Aims & Objectives to be clearly to be highlighted. 2. Methodology followed 3. Resources & Material used 4. Working procedure/ working model 5. Synopsis & summary 6. Mention the sources used including sites.

Note : Innovativeness & Timely submission carry higher weight age.

Bio : Prepare a working model and an investigatory project report on the theme ‘Environmental issues and their management. Prepare a model and the project report on the topic allotted to you from the following :

1. Effect of acid rain in historical monuments and vegetation, and its management. 2. Rain-water harvesting 3. Protection of glaciers 4. Sustainable agriculture 5. Structural and Non-structural disaster mitigation measures. 6. Biodiversity conservation 7. Social forestry 8. Control of Vehicular Air Pollution 9. Waste Management 10. Sewage Treatment Plant 11. Pink- City- an example of rain water harvesting. Instructions : 1. The model should be low cost but presentable. 2. The Project should be handwritten & should not exceed more than 10 pages. 3. Credit will be awarded to original drawings, illustrations, creative use of materials and innovative ideas.