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The values of constants a and b so as to...

The values of constants a and b so as to make the function `f(x)={(1/|x|, |x|ge1),(ax^2+b, |x|lt1):}`, continuous as well as differentiable for all x, are

A

`a = -frac(1)(2), b = frac(3)(2)`

B

`a = frac(1)(2), b = frac(3)(2)`

C

`a = -frac(1)(2), b = -frac(3)(2)`

D

none of these

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The correct Answer is:
A
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