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The values of a and b such that the func...

The values of a and b such that the function f defined as
`f(x)={{:(ax^(2)-b",",,|x|lt1),(-1//|x|",",,|x|ge1):}` is differentiable are

A

`a=1,b=-1`

B

`a=1//2,b=1//2`

C

`a=1//2,b=3//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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