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If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a...

If `x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t)` then show that,`dy/dx=-y/x.`

A

` (-x)/( y)`

B

` ( x)/(y)`

C

` (-y)/( x) `

D

` ( y)/(x)`

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The correct Answer is:
C
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