Let f(x)={{:(,(1)/(|x|),"if "|x| gt 2,"t...

Let `f(x)={{:(,(1)/(|x|),"if "|x| gt 2,"then "f(x)is),(,a+bx^(2), , "if"|x| le2):}` is differentiable at x=-2 for

A

`a=(3)/(4) and b=-(1)/(16)`

B

`a=-(1)/(4) and b=(1)/(16)`

C

`a=(1)/(4) and b=-(1)/(16)`

D

`a=(3)/(4) and b=(1)/(16)`

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The correct Answer is:

A

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