Show that an equation of the chord joining the points [latex] P(acos\omega, bsin\omega) and Q(acos\theta, b sin\theta) [/latex] on the ellipse with equation [latex] b^2x^2+a^2y^2=a^2b^2 is
Bxcos\frac{1}{2}(\theta+\omega)+aysin\frac{1}{2}(\ theta +\omega)=abcos\frac{1}{2}(\theta-\omega) [/latex]
I just can't seem to make it work. Help please!!!
Thanks most helpful!!
I am also stuck on the second part of the question:
Prove that, if the chord PQ subtends a right angle at the point (a,0), then PQ passes through a fixed point on the x-axis.
So far I have work out the gradients of both AP and AQ and deduced that because they are perpendicular:
and also that