1 1 23. 2 For correct table of prob. Distn. Mean (μ) = x.p(x) = 1/3 Variance = x2 p(x) – μ2 = 5/18 1 1 24. Hard Workers ----x Honest and law abiding----y Vigilant and obedient ----z ½ ½ ½ ½ 2 Value Based 1 1 In triangle AOC, R2= (h-R)2+r2 1 25. 1 Volume of cone = = 1 1 1 V is maximum when h= 1 1 When h= volume of the cone = 8/27(volume of the sphere) 1 (OR) Let x and y be the dimensions of the rectangular part of the window and x be 1 the side of an Equilateral triangle. Let A be the total area of the window then A= xy + 1 Also x +2y+2x =12 and y = ½ A= A’= 6-3x+ ½
1 1 23. For correct table of prob. Distn. Mean (μ) = x.p(x) = 1/3 Variance = x2 p(x) – μ2 = 5/18 2 1 1 24. Hard Workers ----x Honest and law abiding----y Vigilant and obedient ----z Value Based ½ ½ ½ ½ 2 1 1 25. In triangle AOC, R2= (h-R)2+r2 1 Volume of cone = = 1 1 1 V is maximum when h= 1 When h= volume of the cone = 8/27(volume of the sphere) (OR) Let x and y be the dimensions of the rectangular part of the window and x be the side of an Equilateral triangle. Let A be the total area of the window then A= xy + Also x +2y+2x =12 and y = A= A’= 6-3x+ 1 1 1 1 1 ½ ½
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