marxman
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- 2016
This is question 19 from 9I Cambridge Maths Year 11 extension 1 text.
P is a variable point on the parabola x^2 = 4y. The normal at P meets the parabola again
at Q. The tangents at P and Q meet at T. S is the focus and QS = 2PS.
i) Prove that angle PSQ = 90 degrees
ii) prove PQ=PT
I feel it is much simpler than I think but would happily appreciate someone show that for me
P is a variable point on the parabola x^2 = 4y. The normal at P meets the parabola again
at Q. The tangents at P and Q meet at T. S is the focus and QS = 2PS.
i) Prove that angle PSQ = 90 degrees
ii) prove PQ=PT
I feel it is much simpler than I think but would happily appreciate someone show that for me
