PQ is a double ordinate of the parabola y 2 = 4 a x . The locus of the points of trisection of PQ is Options: A . &nbsp9y2=4ax B . &nbsp9x2=4ay C . &nbsp9y2+4ax=0 D . &nbsp9x2+4ay=0

Answer: Option A : A Required locus is ( 3 y ) 2 = 4ax ⇒ 9 y 2 = 4 a x .

PQ is a double ordinate of the parabola y2=4ax . The locus of the points of tris

Question

PQ is a double ordinate of the parabola

y^{2} = 4 a x

. The locus of the points of trisection of PQ is

Options:

A . 9y2=4ax

B . 9x2=4ay

C . 9y2+4ax=0

D . 9x2+4ay=0

Answer: Option A
:
A

Required locus is

(3 y)^{2}

= 4ax

\Rightarrow

9 y^{2} = 4 a x

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