Parametric Equation Help (1 Viewer)

[furnz]

P is (2ap, ap^2) and Q(2aq, aq^2) on x^2=4ay.

T is point (a(p+q),apq) and tangents at P and Q meet at 45 degrees.

I have proven p - q = 1 + pq but are stuck with this question

By evaluating the expression x^2=4ay at T, find the locus of T

 

[furnz]

I did end up getting y=a as the locus but am not sure whether this is correct

 

[untouchablecuz]

Sub T into





is the locus of T

 

[furnz]

Thanks mate

 

[ninetypercent]

i hate parametric equations. esp those that deal with proofs.