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

If `f (x)= [{:((sin [x^(2)]pi)/(x ^(2)-3x+8)+ax ^(3)+b,,, 0 le x le 1),( 2 cos pix + tan ^(-1)x ,,, 1 lt x le 2):}` is differentiable in `[0,2]` then: ([.] denotes greatest integer function)

A

`a= 1/3`

B

`a=1/6`

C

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

D

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

Text Solution

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The correct Answer is:
B, C
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VK JAISWAL-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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