Evaluate :
`( 2x - 4y )^2 - 4y^2`

Find the least and the greatest value of f(x , y) = x^(2) + y^(2) - xy where x and y are connected by the relation x^(2) + 4y^(2) = 4

Find each of the following products: (i) (4x - 7y) (4x - 7y) (ii) (3x^(2) - 4y^(2)) (3x^(2) - 4y^(2))

Three sides of a triangle are represented by lines whose combined equation is (2x+y-4) (xy-4x-2y+8) = 0 , then the equation of its circumcircle will be : (A) x^2 + y^2 - 2x - 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x + 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

Find the least and greatest value of f(x,y) = x^(2) + y ^(2) - xy where x and y are connected by the relation x^(2)+4y^(2) = 4 .

Find the value of x and y4x^(2)+4y-2=0,2x^(2)+6y=0

Find the centre and radius of each of that circles : x^2 + y^2 - 2x + 4y =8

Find the values of (x-y) , if (i) 3x + 4y = 11 , 4x + 3y = 10 (ii) 3x + 2y = 8 , 2x + 3y = 7

Find the parametric equation of the circles : x^2 + y^2 - 2x+4y-4=0

Find the parametric equation of the circles : x^2 + y^2 + 2x - 4y - 1 =0