If `4x^(2)+y^(2)=1` then the maximum value of `12x^(2)-3y^(2)+16xy` is

If 2x+y=5 then the maximum value of x^(2)+3xy+y^(2) is

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

If (x,y) lies on the ellipse x^(2)+2y^(3) = 2 , then maximum value of x^(2)+y^(2)+ sqrt(2)xy - 1 is

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

If x-y=9 and xy=16 then the value of x^(2)+y^(2)

If x^(2) + y^(2) = 12 xy , then find the value of (x^(2))/(y^(2)) + (y^(2))/(x^(2)) .