[" Find the equation of the circle which touches the line "x-y=0" at origin and bisect the "],[" circumference of the circle "x^(2)+y^(2)+2y-3=0]

Find the equation of the circle which touches the line x = 0, x = a and 3x + 4y + 5a = 0.

The equation of the circles which touch the x-axis at the origin and the line 4x-3y+24=0

Find the equation of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 and whose centre lies on the line 2x+y=0 .

Find the equation of the circle which touches the lines 4x-3y+10=0a n d4x-3y-30=0 and whose centre lies on the line 2x+y=0.

Find the equation of the family of circles touching the lines x^2-y^2+2y-1=0.

Find the equation of the family of circles touching the lines x^2-y^2+2y-1=0.

Find the equation of a tangent to the circle x^2+y^2-3x+2y=0 at origin.

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

Find the equation of the circle which bisects the circumference of the circle x^(2) + y^(2) + 2y - 3 = 0 and touches the straight line y = x at the origin.

If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the circle x^(2)+y^(2)-2x+8y-d=0 then c+d