The value of `X^2-Xy+y^2` when `X=0` and `y=1` is​

Prove that sin^(2)theta=((x+y)^(2))/(4)xy is possible for real values of x and y only when x=y and x!=0.

find the value of x^2/y^2+y^2/x^2 , when x/y+y/x=1

If m is the minimum value of f(x,y)=x^(2)-4x+y^(2)+6y when x and y are subjected to the restrictions 0<=x<=1 and 0<=y<=1, then the value of |m| is

The value of 9x^(2) + 49y^(2) - 42 xy , when x = 15 and y = 3 is

If x + y = 10 and xy = 16 , then the values of x^2 - xy + y^2 and x^2 + x y + y^2 are

What is the value of x^(2) + 2xy +y^(2) ? I. x+y=0 II. x =-y .