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If sqrt(1-x^6)+sqrt(1-x^6)=a(x^3-y^3), t...

If `sqrt(1-x^6)+sqrt(1-x^6)=a(x^3-y^3),` then prove that `(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))`

A

`(y)/(x)`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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