`³sqrt(xy²)` ÷` sqrt(x²y)` = ?​

If 0 (a) sqrt(x)-\ sqrt(y)=\ sqrt(x-y) (b) sqrt(x)+\ sqrt(x)=\ sqrt(2x) (c) xsqrt(y)=ysqrt(x) (d) sqrt(x y)=\ sqrt(x)\ sqrt(y)

If the number x,y,z are in H.P. , then sqrt(yz)/(sqrt(y)+sqrt(z)),sqrt(xz)/(sqrt(x)+sqrt(z)),sqrt(xy)/(sqrt(x)+sqrt(y)) are in

If sqrt(x)+sqrt(y) = sqrt(a) , find (d^(2)y)/(dx^(2)) at x = a.

If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^2+4sqrt(x y)]//(x+sqrt(x y)) is sqrt(2)+1 b. (sqrt(2)+1)/2 c. (sqrt(2)-1)/2 d. (sqrt(2)+1)/(sqrt(2))

If x,y in R satisfy the equation x^2 + y^2 - 4x-2y + 5 = 0, then the value of the expression [(sqrtx-sqrty)^2+4sqrt(xy)]/((x+sqrt(xy)) is

sin^(- 1)x+sin^(- 1)y=cos^(- 1) (sqrt(1-x^2) sqrt(1-y^2)-xy) if x in [0,1], y in [0,1]

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

If sqrt(x/y)+sqrt(y/x)=1 , then dy/dx

Prove that the diagonals of the parallelogram formed by the lines sqrt(3)x+y=0, sqrt(3) y+x=0, sqrt(3) x+y=1 and sqrt(3) y+x=1 are at right angles.

Find x and y if: (3/sqrt(5) x-5)+i2 sqrt (5) y= sqrt(2)