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Parabola question

2024 · 6 Apr · Shift 1 · Q52

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JEE Main
Mathematics
Parabola
2024 · 6 Apr · Shift 1 · Q52

Parabola question

2024 · 6 Apr · Shift 1 · Q52

JEE MainMathematicsParabolaNumerical+4 / −1

Let a conic

C

pass through the point

(4,-2)

and

P(x, y), x \geq 3

, be any point on

C

. Let the slope of the line touching the conic

C

only at a single point

P

be half the slope of the line joining the points

P

and

(3,-5)

. If the focal distance of the point

(7,1)

on

C

is

d

, then

12 d

equals

\underline{\hspace{2cm}}

.

Numerical answer

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