Parametric Locus Question (1 Viewer)

[mattchan]

Hey, i need the answer to this question on this site from a James Ruse paper....

http://home.swiftdsl.com.au/~kewpid/exams/JR_Trial_2003_3U.pdf

Question 6a iii

Cheers

 

[FinalFantasy]

im not sure if it's right, but heres my solution....
midpoing of PQ is
x=a(p+q) and y=(a\2)(p²+q²) after u do some stuff
for OQ to remain parallel to tangent at P, then q=2p
i.e midpoing M would be:
x=3ap, y=(a\2)(5p²)
p=x\3a, therefore y=5x²\18a is the equation of the locus of M...

hahaha please correct me if im wrong =P

 

[mattchan]

sweet, thats what i got as well