Question: A function given by f(x) = ax 2 + 2bx + c/Ax 2 + 2Bx + C has points of extrema at x = 1

A function given by f(x) = ax ² + 2bx + c/Ax ² + 2Bx + C has points of extrema at x = 1 and x = – 1, such that f(1) = 2, f(– 1) = 3 and f(0) = 2.5. Then

Which of the following is true?

(a) a = – 2.5 A

(b) a = 2.5 A

(d) None of these

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