JEE Advance - Mathematics (1991 - No. 13)
Show that all chords of the curve $$3{x^2} - {y^2} - 2x + 4y = 0,$$ which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.
The chords pass through the point (0, 0).
The chords pass through the point (1, -2).
The chords pass through the point (-1, 2).
The chords pass through the point (2, -4).
The chords pass through the point (0, 1).