The maximum possible value of `(xv- yu)^2` over the surface given by the equations `x^2 + y^2 = 4 and u^2 + v^2 = 9` is

The maximum possible value of x^(2)+y^(2)-4x-6y, x, y in RR subject to the condition |x+y|+|x-y|=4

Find the center and radius of the circle given by the equation 2x^2+2y^2+3x+4y+9/8=0.

Find the circle and radius of the circle given by the equation 2x^(2)+2y^(2)+3x+4y+(9)/(8)=0

If (x+2)^(2)le2-y . What is the maximum possible value of y?

Find the positive value of x for which the given equation is satisfied: (x^2-9)/(5+x^2)=\ -5/9 (ii) (y^2+4)/(3y^2+7)=1/2

Find the positive value of x for which the given equation is satisfied: (x^2-9)/(5+x^2)=\ -5/9 (ii) (y^2+4)/(3y^2+7)=1/2

If |x-y|+|x+y|=2 then maximum possible value of x^(2)-6x+y^(2) is " " (A) 7" " (B) 8" " (C) 9" " (D) 10

Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system of equations u + 2y +3w = 6,4u + 5v + 6w =12 and 6u + 9v = 4 then show that the roots of the equation (1/u+1/v+/w)x^2+[(b-c)^2+(c-a)^2+(d-b)^2]x+u+v+w=0 and 20x^2+10(a-d)^2 x-9=0 are reciprocals of each other.

Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system of equations u + 2y +3w = 6,4u + 5v + 6w =12 and 6u + 9v = 4 then show that the roots of the equation (1/u+1/v+/w)x^2+[(b-c)^2+(c-a)^2+(d-b)^2]x+u+v+w=0 and 20x^2+10(a-d)^2 x-9=0 are reciprocals of each other.

Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system of equations u + 2y +3w = 6,4u + 5v + 6w =12 and 6u + 9v = 4 then show that the roots of the equation (1/u+1/v+/w)x^2+[(b-c)^2+(c-a)^2+(d-b)^2]x+u+v+w=0 and 20x^2+10(a-d)^2 x-9=0 are reciprocals of each other.