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

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

A

`x^2/y^2sqrt((1-y^6)/(1-x^6))`

B

`y^2/x^2sqrt((1-y^6)/(1-x^6))`

C

`x^2/y^2sqrt((1-x^6)/(1-y^6))`

D

None of these

Verified by Experts

The correct Answer is:

A

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