The maximum value of the expression `(3y^2-4xy)/(x^2+y^2)` is

The minimum value of the expression 3x + 2y (AA x, y >0) , where xy^(2) = 10 , occurs when the value of y is equal to

For real numbers x and y, let M be the maximum value of expression x^4y + x^3y + x^2 y + x y + xy^2 + xy^3 + xy^4 , subject to x + y = 3 . Find [M] where [.] = G.I.F.

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(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

When x = (1)/(9) and y = (-3)/(4) , then the value of the expression 81x^(2) +16y^(2) -72xy is

If x^(2)+y^(2)=4 , then maximum value of ((x^(3)+y^(3))/(x+y)) is