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Let f(x)""=""x|x|""a n d""g(x)""=""s in ...

Let `f(x)""=""x|x|""a n d""g(x)""=""s in x` Statement 1 : gof is differentiable at `x""=""0` and its derivative is continuous at that point Statement 2: gof is twice differentiable at `x""=""0` (1) Statement1 is true, Statement2 is true, Statement2 is a correct explanation for statement1 (2) Statement1 is true, Statement2 is true; Statement2 is not a correct explanation for statement1. (3) Statement1 is true, statement2 is false. (4) Statement1 is false, Statement2 is true

A

Statement-1 is True, Statement -2 is True, Statement -2 is True and Statement -2 is a correct explanation for statement -1.

B

Statement -1 is True, Statement -2 is True and Statement -2 is Not is a correct explanation for Statement -1.

C

Statement -1 is True, Statement -2 is False.

D

Statement -1 is False, Statement -2 is True.

Text Solution

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The correct Answer is:
D
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