Parametric Locus Help!! (1 Viewer)

[BlackDragon]

The question is

"Find the equations of the tangents to the curve x^2=8y at the points P(4p,2p^2) and Q (4q, 2q^2). Find the equation of their point of intersection if PQ is a focal chord. "

can anyone show me the working?
thanks, i appreciate it.

 

[abcd9146]

for eqn of tangent:
y=px-ap^2
and then use that euqtion to sub into pojnts P and Q

for the intersect, simultaneous the 2 (remember in focal chord, pq=-1, p=-1/q, q=-1/p)

and you'll find the point