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If x=sin^(-1)(t^(2)-1),y=cos^(-1)(2t) th...

If `x=sin^(-1)(t^(2)-1),y=cos^(-1)(2t)` then `(dy)/(dx)` at t = 0 is

A

`-sqrt(2)`

B

`-(1)/(sqrt(2))`

C

`sqrt(2)`

D

`(1)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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