Hi. I got 2 questions which I'm stuck on.
1) The tangent and normal at any point P on an ellipse meet the major axis at T and G respectively. If PN is the ordinate of P and C the centre, prove that
2) P is a point on the ellipse
with centre O. A line drawn from O, parallal to the tangent to the ellipse at P, meets the ellipse at Q. Prove that the area of the triangle OPQ is independent of the position of P.
If anyone could help me with these in the next 2 hours I'd really appreciate it. You don't have to go though all the derivations of the tangents, normals, etc as I've already done that in both questions.
1) The tangent and normal at any point P on an ellipse meet the major axis at T and G respectively. If PN is the ordinate of P and C the centre, prove that
2) P is a point on the ellipse
If anyone could help me with these in the next 2 hours I'd really appreciate it. You don't have to go though all the derivations of the tangents, normals, etc as I've already done that in both questions.