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Parabola question

2025 · 28 Jan · Shift 2 · Q47

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JEE Main
Mathematics
Parabola
2025 · 28 Jan · Shift 2 · Q47

Parabola question

2025 · 28 Jan · Shift 2 · Q47

JEE MainMathematicsParabolaNumerical+4 / −1

Let

A

and

B

be the two points of intersection of the line

y+5=0

and the mirror image of the parabola

y^2=4 x

with respect to the line

x+y+4=0

. If

d

denotes the distance between

A

and

B

, and a denotes the area of

\triangle S A B

, where

S

is the focus of the parabola

y^2=4 x

, then the value of

(a+d)

is

\underline{\hspace{2cm}}

.

Numerical answer

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