• Want to level up your HSC prep on those harder Maths questions?
    Register now for the BoS Trials (7th October)!

Locus Help (1 Viewer)

Lukybear

Active Member
Joined
May 6, 2008
Messages
1,466
Gender
Male
HSC
2010
Parabola x=2at, y=at^2 has parameters p, q etc..
M is mid point of chord PQ, T is point on parrabola where tangent is parrallel to PQ and I is point where the tangents at P and Q intersect

M,T,I lie on a vertical line, with T the mid point of MI
The tangent at T bisects tangents PI and QI

What is the ratio of the areas of Triangle PQI and PQT
 

kcqn93

Member
Joined
Jul 27, 2008
Messages
473
Gender
Male
HSC
2010
i got some strange looking answer:

PQI : PQT

= 2[(p-q)^2 - 2p^2] : (p-q)^2 - 4p^2

which looks wrong.... whats the answer?
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top