Conic Sections Question 412

Question: PQ is a double ordinate of the parabola $ y^{2}=4ax $ . The locus of the points of trisection of PQ is

Options:

A) $ 9y^{2}=4ax $

B) $ 9x^{2}=4ay $

C) $ 9y^{2}+4ax=0 $

D) $ 9x^{2}+4ay=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

Required locus is $ {{(3y)}^{2}}=4ax $

therefore $ 9y^{2}=4ax $ .