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If f(x)={{:(1/absx,,absxge1),(ax^2+b, ,a...

If `f(x)={{:(1/absx,,absxge1),(ax^2+b, ,absxlt1):}`is differentiable at every point of the domain,then the values of a and b are respectively :

A

`(5)/(3),-(3)/(2)`

B

`(1)/(2),(1)/(2)`

C

`(1)/(2),-(3)/(2)`

D

`-(1)/(2),(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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