The function f(x)={(e^(2x)-1, x lt0),(a...

The function
`f(x)={(e^(2x)-1, x lt0),(ax^2+(bx^2)/2-1, xge0):}`
continuous and differentiable for

A

a=1, b=2

B

a=2, b=1

C

a=2, any b

D

any a, b=4

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The correct Answer is:

C

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