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If f(x)={:{(ax^(2)-b", for " 0 le x lt1)...

If `f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " 1 lt x le 2):}` is continuous at `x=1` , then the most suitable values of a, b are

A

`a=2, b=-2`

B

`a=-1, b=-1`

C

`a=1, b=1`

D

`a=1, b=-1`

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The correct Answer is:
D
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