if `x^2+y^2-4x-6y-3=0`, then minimum possible value of the expression `16 [1/(x-2)^2+1/(y-3)^2]` is equal to:

If x in R - {0} then minimum possible value of the expression (1)/(7)[(3x^(2)+(4)/(3x^(2))+1)^(2)-2(3x^(2)+(4)/(3x^(2)))+4]

Given that x^(2)+y^(2)=14x+6y+6, find the largest possible value of the expression E=3x+4y.

If 4x+3y+12z=26, x, y, z, in R , then minimum possible value of x^(2)+y^(2)+z^(2) is __________

Find the maximum and minimum values of the function y=4x^3-3x^2-6x+1

If x=2,y=1 then x^(4)+2x^(3)y-2xy^(3)-y^(4) is equal to

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

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

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

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