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If f(x) is twice differentiable and cont...

If `f(x)` is twice differentiable and continuous function in `x in [a,b]` also `f'(x) gt 0` and `f ''(x) lt 0` and c in (a,b) then `(f(c) - f(a))/(f(b) - f(a))` is greater than

A

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

B

1

C

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

D

`(b+a)/(b-a)`

Text Solution

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The correct Answer is:
C
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