If `a^(2)x^(4)_b^(2)y^(4)=c^(6)(a,b,x,y,cgt0)` then the maximum value of xy is

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

Statement 1 a+b+c=18(a,b,cgt0) , then the maximum value of abc is 216. Statement 2 Maximum value occurs when a=b=c .

if y^(2)(y^(2)-6)+x^(2)-8x+24=0 , then maximum value of sqrt(y^(4)+x^(2)) is

If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(2) + y^(4) is m and maximum value is M, then find the value of M-2m.

If cos^(-1) . x/a - sin^(-1). y/b = theta (a , b , ne 0) , then the maximum value of b^(2) x^(2) + a^(2) y^(2) + 2ab xy sin theta equals

Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then the maximum value of ((4x-9y))/2 is__________

If a tangent of slope is 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is normal to the circle x^2+y^2+4x+1=0 , then the maximum value of a b is 4 (b) 2 (c) 1 (d) none of these

If b^(2)-4acle0 ("where" ane0 and a,b,c,x,y in R ) satisfies the system ax^(2)+x(b-3)+c+y=0 and ay^(2)+y(b-1)+c+3x=0 , then value of (x)/(y) is ___________.

If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the minimum value of S is

If 4x^(2) + y^(2)=a and xy= b , find the value of 2x+y