If f(x) is continuous at x = 0 , where f...

If `f(x)` is continuous at x = 0 , where `f(x) ={(x^2+a,",",x ge 0),(2sqrt(x^2+1)+b, ",",x lt 0):}`
and `f((1)/(2)) = 2`, then the value of a and b are respectively

A

(a) `7/4, 1/4`

B

(b) `7/4, -1/4`

C

(c) `(-1)/4, 7/4`

D

(d) `-7/4, -1/4`

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The correct Answer is:

B

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