Home Maths Conic Sections Parabola The locus of point of trisection of the doub…
Maths Conic Sections Parabola Single Correct MCQ
Published on: August 14, 2026

The locus of point of trisection of the double ordinates of the parabola y 2 = 4ax is

A
9y 2 = 4ax
B
9x 2 = 4ay
C
4y 2 =9ax
D
4x 2 = 9ay

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The correct answer is:
A

P=(at 2 , 2at), Q = (at 2 , -2at) are the extremities of double ordinate, let (x, y) divides PQ in the ratio 2:1 then x = at 2 , y =

By eliminating t, we get 9y 2 = 4ax

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