The equation of the line inclined at an angle of `pi/4` to the x-axis ,such that the two circles `x^2+y^2=4` and `x^2+y^2 10 x-14 y+65=0` intercept equal length on it, is (A) `2x-2y-3=0` (B) `2x-2y+3=0` (C) `x-y+6=0` (D) `x-y-6=0`

The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such that

The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0 is

The circles x^2 + y^2 + 6x + 6y = 0 and x^2 + y^2 - 12x - 12y = 0

The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2+y^2-5x+5y+6=0 is

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+y^2=0 are equally inclined,then b is equal to

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

The equation (s) of common tangents (s) to the two circles x^(2) + y^(2) + 4x - 2y + 4 = 0 and x^(2) + y^(2) + 8x - 6y + 24 = 0 is/are

The intercept made by the radical axis of the circles x^2+y^2+6x-16=0 and x^2+y^2-2x-6y-6=0 on x-axis is

The equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0 and x^2 + y^2 + 2x - 6y - 6=0 and having its centre on y=0 is : (A) 2x^2 + 2y^2 + 8x + 3 = 0 (B) 2x^2 + 2y^2 - 8x - 3 = 0 (C) 2x^2 + 2y^2 - 8x + 3 = 0 (D) none of these