The Student Room Group

P5? Tangents, Param, Circles...

A curve is given parametrically by the equations: x=a(2+t^2) y= 2at. Find the values of t at the points P and Q in which this curve is cut by the circle with centre (3a,0) and radius 5a. Show that the tangents to the curve at P and Q meet on the circle, and that the normals to the curve at P and Q also meet on the circle.

I could get t = +-2 but for the bit afterwards.. do I have to find all the equations make things equal... ? It seems a bit of tiring exercise :/

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