Verify Rolles theorem for the functio...

Verify Rolles theorem for the function `f(x)=(x-a)^m(x-b)^n` on the interval `[a ,\ b]` , where `m ,\ n` are positive integers.

A

`(a+b)/(2)`

B

`(ma+nb)/(m+n)`

C

`(mb +na)/(m+n)`

D

None of these

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The correct Answer is:

C

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