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If f(x)=ax when x<1 and f(x)= ax^2+bx+2 ...

If `f(x)=ax `when `x<1` and `f(x)= ax^2+bx+2` when `x >= 1` then the values of `a` and `b` for which `f(x)` is differentiable are

A

`a=(3)/(4), b=(1)/(4)`

B

`a=2, b=-2`

C

`a=(3)/(2), b=(1)/(4)`

D

`a=(3)/(4), b=-2`

Text Solution

Verified by Experts

The correct Answer is:
B
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