Find the locus of the centre of a circle which passes through the origin and cuts off a length `2l` from the line `x=c`.

Find the locus of the centre of a circle which passes through the origin and cuts off a length 2b from the line x=c .

The locus of centre of a circle which passes through the origin and cuts off a length of 4 units on the line x =3 is

Find the equations of the circles which pass through the origin and cut off chords of length a from each of the lines y=x and y=-x

Find the equation of a circle which passes through the origin and whose centre is (a, b).

Find the equation of the circle which passes through the origin and cuts off intercepts -2 and 3 from the coordinate axes .

Find the equation of the circle which passes through the origin and cuts off chords of lengths 4 and 6 on the circle concentric with the circle x^2+y^2-6x+12 y+15=0\ and double of its area.

Find the locus of centres of circles which touch two intersecting lines.

The locus of the centres of all circles passing through two fixed points.

Find the equation to the circle which passes through the origin and cut off equal chords of length ' a ' from the straight lines y=xa n dy=-x .

Find the equation of the circle which passes through the origin and cuts off chords of lengths 4 and 6 on the positive side of the x-axis and y-axis respectively.