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If a twice differentiable function f(x) ...

If a twice differentiable function f(x) on (a, b) and continuous on [a, b] is such that `f''(x) lt 0` for all `x in (a, b)` then for any `c in (a, b), (f(c) - f(a))/(f(b) - f(c)) gt`

A

`(b-c)/(c-a)`

B

`(c-a)/(b-c)`

C

`(b-c) (c - a)`

D

`(1)/((b-c) (c - a))`

Text Solution

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The correct Answer is:
B
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