Anyone good at parabolas? If so, Help please :)
(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 y = mx + b.

(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:

(i) the points P and T are equidistant from the tangent at the origin,

(ii) the chord is parallel to the tangent to the parabola at N.

Question

Anyone good at parabolas? If so, Help please :)
(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 y = mx + b.

(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:

(i) the points P and T are equidistant from the tangent at the origin,

(ii) the chord is parallel to the tangent to the parabola at N.

anonymous · Answer

I have done part (a) already

anonymous · Answer

Just confirming,  you need help with part b now?

anonymous · Answer

yep

anonymous · Answer

Alright, give me a second to process what this is asking.

anonymous · Answer

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anonymous · Answer

What did you get for part a? Can you put it on the board?

anonymous · Answer

The problem says use the result from part a to solve the other parts of the problem

anonymous · Answer

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