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., ., , M-188, , to, , ., , 1, , Number of students, 11lothO!I. (4), , P deviation ·, , I, , (fi/).Join the points.~ .. B, C,f D,, 1· C', B' and A' n ordc, O, I D',, Write down the equatton o · t 1e .me of symmetrY o f ther,flso as t forlll, . Ste igun, for,'tied ll clos Cd n, oulate the mean of the following distributio n US Ing, , Marks, , 0-10, , :7, {l), , Ill, , 9, 10-20, 25, 20-30, 30, Jo-40, 16, 40-50, 10, 5()-60, b) ln the given figure, PQ is a tangent to the· circle at A · AB andAD, (, are bisecfll!,, ~CAQ and LPAC. If LBAQ = 30°, prove that :, , (ii) ABC is an isosceles triangle., , (1) BD is a diameter of the circle, , ~, , reasons, the measure of, , (ii) LBOD, , (iii)_ L'.'.OBD, , M-187, , A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle :, , 3, , (/) Find the coordinate s of the centroid O of the triangle., (/1) find the equation of the line through C and parallel to AC., , Tl, , 40o-450, 450-500, 500-550, 550-600, 600-650, 650-700, 700-750, , Wages (in ~), , ~ (b) The dmly wages o f80 wor k ers, , ., , 5, , 13, , 24, , 18, , 12, , 6, , 2, , ., , Number of worker;, , tn a proJect are given below., , ., , (3), , (6), , (4), , ...., , sin0 - 2sin 0 • tan 8, 3, (c) prov~ 2cos 8 - cos0, m of the ages ofVivek and hi!i younger brother Amit is 47 years Th, · e product of, ges in years is 550. Find their ages ., , tO, , ., , (ii) Find the length, , ~ -.. ;\ area of ~ K, ( 111,, area of ~SPR, , .J, , nc,, , Q /, , P, , ',. .,,......,, , 'R, , Use a graph paper to draw an ogive for the above distribution. (Use a scale of2 cm=, '{50 on the x-axis and 2 cm= 10 workers on the y-axis). Use your ogive to estimate :, (i) the median wage of the workers., (ii) the lower quartile wage of workers., a, A, p, (iii)the number of workers who earn more than '{625 daily., riceofana .ir · nditioner is t45,000/- . T~ewhole salerallow sadisc~f, (c) Theprin, ( gles of depressio n of two ships A and B as observed from the top of a lighthouse, ~, Th, ·, a), 1, 1, keeper ·he shopkeep er sells the article to the customer at a di~, 10% to the, m high are 60° and 45° respective ly. If the two ships are on the opposite sides of the, of 5% of the mm.tc·f"('M'hrice. Sales tax (under VAT) is charged ·at the rate of 12111, lighthouse , find the distance between the two ships. Give your answer correct to the, (4), (3), nearest whole number., every stage. Find ·, rhe s h ~ r to the governme nt., (1) VAT ~-i~ ✓, a point on jJ)e side QR of Af>QR such that LPSR = LQRS., is, S, triangle., a, is, PQR, {b), (3), Given QP = 8~, PR= 6 cm A SR= 3 cm., (i) Prove ~PQ R, , .•, (i,) The to~~~ nt pa.id by the customer inclusive of tax., n, 9. (3/ln the figure given, 0 is the centre of the circle, LDAE = 70°. Fi <lgiving;:, ', ., , ~, (1) LBCD, , D, E