Parametric Equations Cambridge Ex 9J (1 Viewer)

[jkerr138]

Q12) The variable point P(2ap, ap^2) lies on x^2=4ay, and the chord OQ is drawn parallel to the tangent at P. The tangents at P and Q meet at R.
C) Show that the coordinates of Q are (4ap,4ap^2)

Equation of Tangent at P: y=px-ap^2
Equation of Chord OQ: y=px

 

[ymcaec]

Solve for the intersection of OQ and the parabola for point Q.

 

[WhoStanLeee]