Parametric Equations (1 Viewer)

[Lukybear]

2 Questions that are destroying me:

12. PQ is a focal chord of the parabola x^2=4ay. Perpendiculars PA, QB are drawn from P, Q to meet the directrix at A, B repsectively.

Prove that PB, QA intersect at the vertext O

 

[Lukybear]

bump?

 

[Lukybear]

Locus Question:

Tangents are drawn to a parabola x^2=4y from an external point A(x1, y1) touching the parabola at P and Q

Prove that the mid point M, of PQ is the point (x1, 1/2x1^2 - y1)