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Parabola

Section: Mathematics

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Question : 4 of 32

Marks: +1, -0

A normal with slope

\frac{1}{\sqrt{6}}

is drawn from the point

(0,-a)

to the parabola

x^2=-4 a y

a>0

L

be the line passing through

(0,-a)

and parallel to the directrix of the parabola. Suppose that

L

intersects the parabola attwo points

A

B

r

denote the length of the latus rectum and

s

denote the square of the length of the line segment

A B

r: s=1: 16

, then the value of

24 a

[JEE Adv 2024 P2]

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