help with parametric equations

In this problem I am needed to find the points of intersection between line and curve in part ii. Would it be possible to obtain the coordinates without using cartesian equations? I attempted to do so and this is how far I went:

There's one more intersection point to be found

(edited 9 years ago)

Reply 1

ghostwalker

Original post by thebrahmabull

...

Your methodology has one major flaw, and it's only luck that you get any common point - but it is fixable.

In the question, although they've used "t" for the parameter for the curve and also for the line, they are actually different parameters. If you're going to refer to the curve and the line together, then we need to choose a different parameter for the line, say. Call it "s".
So, our line becomes: