AIEEE Exam

If A and B are two independent events, prove that P (A - B). P (A) P(C), where C is an event defined that exactly one of A and B occurs.

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AIEEE Other Question

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 A circle touches the line 2x + 3y + 1 = 0 at the point (1, -1) and is orthogonal to the circle which has the line segment having end points (0, -1) and (-2, 3) as the diameter