The equation of a circle of radius `1` touching the circles `x^2+y^2-2|x|=0` is (a) `x^2+y^2+2sqrt(2)x+1=0` (b) `x^2+y^2-2sqrt(3)y+2=0` (c) `x^2+y^2+2sqrt(3)y+2=0` (d) `x^2+y^2-2sqrt(2)+1=0`

Equation of a circle of radius 2 and touching the circles x^2+y^2-4|x|=0 is x^2+y^2+2sqrt(3)y+2=0 x^2+y^2+4sqrt(3)y+8=0 x^2+y^2-4sqrt(3)y+8=0 none of these

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

The equation of the circle which cuts orthogonally the three circles x^2+y^2+4x+2y+1=0, 2x^2+2y^2+8x+6y-3=0, x^2+y^2+6x-2y-3=0 is

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0 and x^2+y^2+6x-2y-3=0 orthogonally.

Find the equation of the common chord of the following pair of circles x^2+y^2+2x+3y+1=0 x^2+y^2+4x+3y+2=0

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

The number of common tangents of the circles x^2+y^2−2x−1=0 and x^2+y^2−2y−7=0

Find the equation of the tangent to the circle x^2+y^2-2x-2y-23=0 and parallel to 2x+y+3=0.

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0