6y^(2)+y(12+8a)+16a=0

Prove that the centres of the three circles x^(2) + y^(2) - 2x + 6y + 1 = 0, x^(2) + y^(2) + 4x - 12y + 9 = 0 and x^(2) + y^(2) - 16 = 0 are collinear.

The distance of the point (1,2) from the common chord of the circles x^(2)+y^(2)+6x-16=0 and x^(2)+y^(2)-2x-6y-6=0 is

The distance from (1,2) to the radical axis of the circles x^(2) + y^(2) + 6x -16 = 0 , x^(2) + y^(2) - 2x - 6y - 6 = 0 is

Find the number of common tangents of x^(2)+y^(2)-8x-6y+21=0, x^(2)+y^(2)-2y-16=0 also find point of intersection of tangents.

The equation of the parabola with focus (0,0) and directrix x+y=4 is x^(2)+y^(2)-2xy+8x+8y-16=0x^(2)+y^(2)+8x+8y-16=0x^(2)+y^(2)-2xy+8x+8y=0x^(2)-y^(2)+8x+8y-16=0

The lenght of the common chord of circles x^(2)+y^(2)-6x-16=0 and x^(2)+y^(2)-8y-9=0 is

Divide 15 (y+ 3) ( y ^(2) - 16) by 6 ( y ^(2) - y -12). s

Factorize each of the following algebraic expressions: 49-a^2+8a b-16 b^2 (2) a^2-8a b+16 b^2-25 c^2 (3) x^2-y^2+6y-9

The eccentricity of the ellipse 8 x^(2)+6 y^(2)-16 x+12 y-34=0 is

The centre of the ellipse 8 x^(2)+6 y^(2)-16 x+12 y-34=0 is