If a an arbitrary constant, then solutio...

If a an arbitrary constant, then solution of the differential equation `(dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0` is

A

`xsqrt(1-y^2)-ysqrt(1-x^2)=c`

B

`xsqrt(1-y^2)+ysqrt(1-x^2)=c`

C

`xsqrt(1+y^2)-ysqrt(1+x^2)=c`

D

None of these

Verified by Experts

The correct Answer is:

B

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