Evaluate `(sqrt(x^2-y^2)+x)/(sqrt(x^2+y^2)+y) divide (sqrt(x^2+y^2)-y)/(x-sqrt(x^2-y^2))`

Simplify : (sqrt(x^(2)+y^(2))-y)/(x-sqrt(x^(2)-y^(2)))-:(sqrt(x^(2)-y^(2))+x)/(sqrt(x^(2)+y^(2))+y)

x(dy)/(dx)-y=2sqrt(y^(2)-x^(2))

If sqrt(a+ib)=x+iy, then possible value of sqrt(a-ib) is x^(2)+y^(2) b.sqrt(x^(2)+y^(2)) c.x+iydx-iy e.sqrt(x^(2)-y^(2))

Evaluate : sqrt ( x^5 / y^2 ) times sqrt ( x^6 / ( x^-2 y^-4 ) )

Evaluate : sqrt ( x^5 / y^2 ) times sqrt ( x^6 / ( x^-2 y^-4 ) )

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),then (dy)/(dx)is equal to (a)(a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (c)(a y)/(xsqrt(a^2-x^2)) (d) none of these

Evaluate : ( sqrt(2)x + sqrt(3)y ) ( sqrt(2)x + sqrt(3)y )

Find : sqrt( y^2-x^2) times sqrt( y^2 - x^2) =

Solve: (2)/(sqrt(x))-(3)/(sqrt(y))=2 and (4)/(sqrt(x))-(9)/(sqrt(y))=-1

Show that: (x^((2)/(3))sqrt(y^(-2)))/(y^(2)sqrt(x^(-2)))times(y^(2)sqrt(x^(-2)))/(sqrt(x^((4)/(3))))=(1)/(y)