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If f(x) = {{:((sin[x^(2)]pi)/(x^(2)-3x -...

If `f(x) = {{:((sin[x^(2)]pi)/(x^(2)-3x - 18)+ax^(2)+b",","for",0 le x le 1),(2 cos pi x + tan^(-1)x",","for",1 lt x le 2):}` differentiable function in [0, 2], where `[*]` denotes the greatest integer function, then

A

`a= 1/3`

B

`a=1/6`

C

`b =(pi)/(4)- (13)/(6)`

D

`b =(pi)/(4) -(7)/(3)`

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The correct Answer is:
B, C
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VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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