Conics Locus Question (1 Viewer)
- Thread starter Ambility
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Paradoxica
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Consider the ratio of the co-ordinates of N, and their product.If someone could do a worked solution for part ii that would be great. I have already done part i.
$ on the rectangular hyperbola $xy=c^2$ meets the tangent at N. You may assume this tangent has the equation $x+p^2y=2cp$.$\\\\$i. Show that the coordinates of N are $(\frac{2cp}{1+p^4},\frac{2cp^3}{1+p^4})\\$ii. Hence or otherwise find the locus of N as p varies.$)
Thank you, but I'm going to need a little bit more than that. I take it I need to eliminate p, how can I do that?
KingOfActing
lukewarm mess
If someone could do a worked solution for part ii that would be great. I have already done part i.
Edit: I take that back, thanks Paradoxica
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Paradoxica
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you cannot eliminate p itself, but you can eliminate p^2. Like I said, consider the quotient of the ordinates.