A curve has equation
3x² – 4xy + 2y² – 2 = 0
(i) Show that
(ii) Find the exact coordinates of the points on the curve where the tangent is parallel to the x-axis.
(iii) The normal of the curve at the point P with coordinates (0,1), meets the curve again at point Q. Find the area of triangle OPQ, where O is the origin.