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Statement I: If g(x) is differentiable f...

Statement I: If g(x) is differentiable function `g(1) ne0, g(-1)ne0 ` and Rolle's theorem is not applicable to `f(x)=(x^(2)-1)/(g(x))` in `[-1, 1]`, then g(x) has atleast one root in `(-1, 1)`.
Statement II: if `f(a)=f(b)`, then Rolle's theorem is applicable for `x in (a, b)`.

A

A) Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

B) Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

C) Statement I is true, Statement II is false

D

D) Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
C
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