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If sqrt(y - sqrt(y - sqrt(y ....oo))) = ...

If `sqrt(y - sqrt(y - sqrt(y ....oo))) = sqrt(x + sqrt(x + sqrt(x ....oo)))` then `(dy)/(dx)` is equal to

A

`(y - x + 1)/(y - x - 1)`

B

`(y - x)/(y + x)`

C

`(x + y + 1)/(y - x)`

D

`(y - x + 1)/(y + x)`

Text Solution

Verified by Experts

The correct Answer is:
A
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