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For a gt 0, t in (0, (pi)/(2)), let x=sq...

For `a gt 0, t in (0, (pi)/(2))`, let `x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)`.
Then `1+((dy)/(dx))^(2)` equals

A

`(x^(2))/(y^(2))`

B

`(y^(2))/(x^(2))`

C

`(x^(2)+y^(2))/(y^(2))`

D

`(x^(2)+y^(2))/(x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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