Parametrics: chord of contact question (1 Viewer)

[clintmyster]

(a) Write down the equation of the chord of contact of the parabola x^2= 4ay from the point P (x0,y0) then write it in gradient-intercept form.

(b) Let this chord meet the axis of the parabola at T, and let the line through P parallel to the axis meet the parabola at N. Use part (a) to show that: the chord is parallel to the tangent to the parabola at N.

could do part (a) but part (b) stumped me. Any help please?

 

[clintmyster]

thanks heaps, omg most stupid mistake in part (a), when dividing by 2a i forgot to do that to the x₀ so i never get x₀/2a!