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If f(x) =ax^(2) +b, b ne 0, x le 1 =bx^(...

If f(x) `=ax^(2) +b, b ne 0, x le 1 =bx^(2) +ax + c, x gt 1` , then f(x) is continous and differentiable at x=1, if

A

c=0, a=2b

B

a=b, c= arbitrary

C

a=b, c=0

D

a=b, `c ne 0`

Text Solution

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The correct Answer is:
A
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