The given curve is
3x2 - y2 - 2x + 4y = 0 ....(i)
Let y = mx + c be the chord of curve (i) which subtend right angle at origin. Then, the combined equation of lines joining points of intersection of curve (i) and chord y = mx + c to the origin, can be obtained by the equation of the curve homogeneous. ie,


Since, the lines represented are perpendicular to each other.
