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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

`sqrt5/2`

B

`-sqrt5/4`

C

`2/sqrt5`

D

`-sqrt5/2`

Text Solution

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The correct Answer is:
D
NA
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