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Let f(x)={1/(|x|)\ \ \ \ \ for\ |x|geq1....

Let `f(x)={1/(|x|)\ \ \ \ \ for\ |x|geq1....a x^2+b\ \ \ \ \ \ \ \ for\ |x|<1` . If `f(x)` is continuous and differentiable at any point, then `a=1/2,\ \ b=-3/2` (b) `a=-1/2,\ \ b=3/2` (c) `a=1,\ \ b=-1` (d) none of these

A

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

B

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

C

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

D

None of these

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The correct Answer is:
A
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