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Parabola question

2024 · 9 Apr · Shift 2 · Q52

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JEE Main
Mathematics
Parabola
2024 · 9 Apr · Shift 2 · Q52

Parabola question

2024 · 9 Apr · Shift 2 · Q52

JEE MainMathematicsParabolaNumerical+4 / −1

Let

A, B

and

C

be three points on the parabola

y^2=6 x

and let the line segment

A B

meet the line

L

through

C

parallel to the

x

-axis at the point

D

. Let

M

and

N

respectively be the feet of the perpendiculars from

A

and

B

on

L

. Then

\left(\frac{A M \cdot B N}{C D}\right)^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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