If x, y are real and `(x-1)^2+ (y-4)^2=0` , then the value of `x^3 +y^3` is

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If (x - ( 1)/( 3))^(2) + ( y - 4)^(2) = 0 , then what is the value of ( y +x)/( y -x) ?

If (x-1)^2+(y-2)^2=0 , where x and y are integers, then the value of 2x+3y is :

If (2x)/(3y)+(3y)/(2x)=1,(x,y!=0), then the value of 8x^(3)+27y^(3) is

If x^2 + y^2 + z^2 =2 (x-y-z) - 3, then the value of 2x - 3y + 4z is [Assume that x, y, z are all real numbers] :

If x-4y= 0 and x+2y= 24 , then what is the value of (2x+3y)//(2x-3y) ?