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Given f(x) {:(=x^(2)+a", ...

Given f(x) ` {:(=x^(2)+a", if "x le 0 ),(= 2 sqrt(1+x^(2))+b ", if " x gt 0 ) :}` and `f(-1)=2` . If f is continuous at x = 0 , then (a,b) `-= …..`

A

`(-1,1)`

B

`(0,1)`

C

`(1,0)`

D

`(1,-1)`

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The correct Answer is:
d
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