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- Homework Statement
- This is a past paper question...see attached (my interest is on the highlighted) I used a different approach thus your insight would be great. I always make it a point to try out the questions before checking what the mark scheme offers...

- Relevant Equations
- parametric equations.

Find ms solution;

My approach;

##xt=t^2+2## and ##yt=t^2-2##

##xt-2=t^2## and ##yt+2=t^2##

##⇒xt-2=yt+2##

##xt-yt=4##

##t(x-y)=4##

##t=\dfrac{4}{x-y}##

We know that;

##x+y=2t##

##x+y=2⋅\dfrac{4}{x-y}##

##(x-y)(x+y)=8##

##x^2-y^2=8##

Your insight is welcome...rather asking if this approach would be correct.