Find the equations of the circles which pass through the origin and cut off equal chords of length `sqrt2` units on the straight lines y=x and y=-x.

Find the equations of the circles which pass through the origin and cut off equal chords of length sqrt(2) units on the straight lines y = x and y = - x .

Find the equations of the circles which passes through the origin and cuts off equal chords of length a from the straight line y-x=0 and y+x=0

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

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 the circle which passes through the origin and cut off intercept 3 and 4 from the positive parts of the axes respectively.

Show that the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x+y+2 = 0 and which also passes through the origin.

Show that the circle x^(2) + y^(2) + 6(x-y) + 9 = 0 touches the coordinates axes. Also find the equation of the circle which passes through the common points of intersection of the above circle and the straight line x-y+4 = 0 and which also passes through the origin.

Find the equation of a circle which is passes through the point (4,3) and (-2,.5) and the centre lies on the straight line 2x - 3y = 4.

Find the equation of the circle which passes through the origin and cuts off intercepts 3 unit and 4 unit from x and y-axes respectively. Find the equation of that diameter of the circle which passes through the origin.

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