parabola

S is a parabola y²=4ax
A is the vertex
AP and AQ are 2 chords which make angle Ï€/4 with each other
Also PQ is a focal chord

Then what is the area of triangle APQ

2 Answers

1) take P(at1^2,2at1) and Q (at2^2, 2at2)

2) slopes at origin: m1=2/t1 , m2=-2/t2

3) angle between shold be pi/4.

=> tanpi/4 = (m1-m2)/(1+m1m2)

4) another condition is t1t2=-1 since focal chord.

use all tehse , u will get t1,t2 ....

bus [1]

hey thanks a lot, the slopes idea didn't strike me

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