AIEEE Exam

If the pair of lines ax2 + 2(a + b)xy + by2 = 0 lie along diameters of a circle and divide
the circle into four sectors such that the area of one of the sectors is thrice the area
of another sector then find relation between a and b??

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AIEEE Other Question

Two points A and B move from rest along a straight line with constant acceleration f and f' respectively. If A takes m sec. more than B and describes n units more than B in acquiring the same speed then find relation between f & f' A real valued function f(x) satisfies the functional equation f(x - y) = f(x) f(y) - f(a - x) f(a + y) where a is a given constant and f(0) = 1, f(2a - x) is equal to