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 . &nbsp 9 y 2 = 4 a x B . &nbsp 9 x 2 = 4 a y C . &nbsp 9 y 2 + 4 a x = 0 D . &nbsp 9 x 2 + 4 a y = 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 .

9 y^{2} = 4 a x

B .

9 x^{2} = 4 a y

C .

9 y^{2} + 4 a x = 0

D .

9 x^{2} + 4 a y = 0

Answer: Option A
:
A

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

$\Rightarrow$ $9 y^{2} = 4 a x$ .

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