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

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 lines which pass through the origin and are inclined at an angle tan^(-1)m to the line y=m x+cdot

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .

Find the equation of circle central at (-5,0) and passing through the origin.

Find the equation of a circle which passes through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=0

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of a line parallel to x-axis and passing through the origin.

Find the equation of the circle passing through the origin and cutting intercepts of lengths 3 units and 4 unitss from the positive exes.