The solution of `xsqrt(1+y^2)dx+ysqrt(1+x^2)dy=0`A. ` sin ^(-1) x + sin ^(-1) y = C `B. `sqrt (1 + x ^(2)) + sqrt (1 + y ^(2)) = C `C. ` tan ^(-1)x + tan ^(-1) y= C `D. none of these

The solution of `xsqrt(1+y^2)dx+ysqrt(1+x^2)dy=0`A. ` sin ^(-1) x + si

1.	The solution of `xsqrt(1+y^2)dx+ysqrt(1+x^2)dy=0`A. ` sin ^(-1) x + sin ^(-1) y = C `B. `sqrt (1 + x ^(2)) + sqrt (1 + y ^(2)) = C `C. ` tan ^(-1)x + tan ^(-1) y= C `D. none of these
Answer» Correct Answer - B `int (2x )/( 2* sqrt ( 1+ x ^(2))) dx + int (2y )/( 2*sqrt ( 1 + y ^(2))) =C rArr (1)/(2) int (dt)/(sqrt t) + (1)/(2) int (du)/(sqrtu ) = C`, where ` 1 + x ^(2) = t and 1+ y^(2) =u` ` rArr sqrt t + sqrtu =C rArr sqrt (1+ x^(2)) + sqrt (1 + y ^(2)) =C`.