Re: HSC 2015 3U Marathon
Tangents are drawn from the ends of a focal chord on the parabola x^2=4ay at points P(2ap, ap^2) and Q(2aq, aq^2). Find the locus of the intersection of these tangents.
Thank you! I would complete the square!
x^2+y^2-2ay=0\\x^2+y^2-2ay+a^2=a^2\\x^2+(y-a)^2=a^2
I guess I better post another question, though I can't be bothered finding one, so I'm making this up on the fly. I believe it is possible.
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It's getting late, I'm just going to dump my working, tell me if I got close.
P(2at,at^2)\,\,\,\,\,S(0,a)\,\,\,\,\,t^2:1\\\text{By the division into ratios...
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DatAtarLyfe, I'm working on your question. I can get the first two parts out, but the last one is giving me trouble.
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