# 2nd PUC Mathematics Series 7

PUC Science 2nd Year Mathematics Series-7 quiz

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2nd PUC Mathematics Series 7

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61. If the points (a1, b1), (a2, b2) and(a1 + a2, b1 + b2) are collinear, then

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62. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.

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63. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).

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64. The derivative of f(tan x) w.r.t. g(sec x) at x = π/4, where f'(1) = 2 and g'(√2) = 4, is

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65. If x2 + y2 = 1, then

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66. The value of c in Rolle’s theorem for the function, f(x) = sin 2x in [0, π/2] is

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67. The value of c in mean value theorem for the function f(x) = (x – 3)(x – 6)(x – 9) in [3, 5] is

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68. The value of c in Mean value theorem for the function f(x) = x(x – 2), x ∈ [1, 2] is

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69. The number of discontinuous functions y(x) on [-2, 2] satisfying x2 + y2 = 4 is

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70. If y = (1 + x)(1 + x2)(1 + x4)…..(1 + x2n), then the value of dy/dx at x = 0 is