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Another parametrics qu (1 Viewer)

VenomP

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Two points P(2ap, ap^2) and Q(2aq, q^2) lie on the parabola x^2 = 4ay.

i. Show that the equation of the tangent to the parabola at P is y = px - ap^2.

ii. The tangent at P and the line through Q parallel to the y axis intersect at T. Find the coordinawtes of T.

iii. Write down the coordinates of M, the midpoint of PT.

iv. Determine the locus of M when pq = -1.
 

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