If `sqrt(x) : ? :: sqrt(y) : x^2 y^2` then complete this proportion

If the value of (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) is same as that of sqrt x sqrt y , then which of the following relations between x and y is correct? यदि (3x sqrt y+2y sqrt x)/(3x sqrt y-2y sqrt x)-(3x sqrt y-2y sqrt x)/(3x sqrt y+2y sqrt x) का मान sqrt x sqrt y के समान है, तो निम्नलिखित में से कौन सा संबंध x और y के बीच सही है?

If sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2)))

If sqrt(x+1)+sqrt(y)+sqrt(z-4)=(x+y+z)/(2), then find x+y+z

If sqrt(x) + sqrt(y) = sqrt(a) , then (dy)/(dx) = 1/(2sqrt(x)) + 1/(2sqrt(y)) = 1/(2sqrt(a))

If sqrt(x)+sqrt(y)=sqrt(a)," then "y_(2)" at "x=a is