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Let S be the set of all points in (-pi,p...

Let S be the set of all points in `(-pi,pi)` at which the function F(x)=min.{sinx,cosx} is not differentiable. Then S is a subset of which of the following?

A

`{-(3pi)/(4),(pi)/(2),(pi)/(2),(3pi)/(4)}`

B

`{-(3pi)/(4),-(pi)/(4),(3pi)/(4),(pi)/(4)}`.

C

`{-(pi)/(4),0,(pi)/(4)}`

D

`{-(pi)/(2),-(pi)/(4),(pi)/(4),(pi)/(2)}`.

Text Solution

Verified by Experts

The correct Answer is:
B
.
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