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 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 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 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 .

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

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 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.

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.

Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .