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. Hindi: d½ fuEufyf[kr ifBr ikB dk lkjka ”k fyf[k, &ikB~ ; iq Lrd & f{kfrt½ leLr dk;Z viuh x` gdk;Z vH;kl iq fLrdk es a dhft,& 1- ,d dgkuh ;g Hkh] 2- L=h f”k{kk dq rdks Z a dk [k.Mu] 3- lkuk&lkuk gkfFk tks fM ¼d` frdk½ [k½ fuEufyf[kr dfork dk iz frikn~ ; fyf[k, & 1- Nk;k er Nw uk] 2- dU;knku x½ ^O;kdj.k fuf/k^^ ikB~ ; iq Lrd ls fuEufyf[kr vH;kl dk;Z dhft, & 1- in ifjp;& vH;kl 1] 2] 3] 2- lHkh jlks a dk LFkk;h Hkko] vkyEcu] vuq Hkko rFkk la pkjh Hkko fyf[k,A 3- okP; vH;kl & 1] 2] 3 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: x 2 +8x +10 = 0 Q7 Find the value of k for which the equation has equal roots: 9x 2 – 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 ax 2 + 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 x 2 + 4x + 3 = 0 , and state the nature of the roots. Q14 Find the 20 th ,and n th term of the A.P. 2,5,8,11,14…………… Q15. Solve the equation by using quadratic formulae: x 2 + 8x + 10 = 0 Q16Find the value of k for which the equation has equal roots: kx 2 – 6x +2 = 0 Q17 The 7 th term of an A.P. is -4 and the 13 th term is -16. Write the A.P. up to first 4 terms. Q18.If the n th 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 60 0 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 60 0 and the angle of elevation of the top of the tower from the foot of the hill is 30 0 . 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 45 0 and 30 0 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 30 0 than when it was 60 0 . 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.