If x is real, then the maximum value of `y=2(a-x)(x+sqrt(x^2+b^2))`

If a^2x^4+b^2y^4=c^6, then the maximum value of x y is (a) (c^2)/(sqrt(a b)) (b) (c^3)/(a b) (c) (c^3)/(sqrt(2a b)) (d) (c^3)/(2a b)

If (a^(2)-14a+13)x^(2)+(a+2)x-2=0 does not have two distinct real roots, then the maximum value of a^(2)-15a is _________.

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

If x,y,in R^(+) satisfying x+y=3 , then the maximum value of x^2y is _____________.

The maximum value of cos xsin x+sqrt(sin^(2)x+sin^(2)((pi)/(6))} 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 f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2)) is