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If x=sec theta-cos theta, y =sec^(n)the...

If `x=sec theta-cos theta, y =sec^(n)theta-cos^(n) theta` and `(x^(2)+4)((dy)/(dx))^(2)=k(y^(2)+4)` then the value of k is -

A

`n^(2)`

B

`2n`

C

`-n^(2)`

D

`-2n`

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The correct Answer is:
A
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