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If {:(f(x),=x^(2)+alpha,",","for"x ge 0)...

If `{:(f(x),=x^(2)+alpha,",","for"x ge 0),(,=2sqrt(x^(2)+1)+beta, ",","for"x lt 0):}`
is continuous at x = 0 and `f((1)/(2))=2` then `alpha^(2)+beta^(2)` is

A

3

B

`8/25`

C

`25/8`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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