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if y sqrt(1-x^2) = k - x sqrt(1-y^2) an...

if ` y sqrt(1-x^2) = k - x sqrt(1-y^2)` and `y(1/2) = -1/4`, then `(dy)/(dx) at x = 1/2`

A

`-(sqrt(5))/(2)`

B

`(sqrt(5))/(2)`

C

`-(sqrt(5))/(4)`

D

`(2)/(sqrt(5))`

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The correct Answer is:
A
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