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Parabola question

2024 · 9 Apr · Shift 2 · Q55

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JEE Main
Mathematics
Parabola
2024 · 9 Apr · Shift 2 · Q55

Parabola question

2024 · 9 Apr · Shift 2 · Q55

JEE MainMathematicsParabolaNumerical+4 / −1

Consider the circle

C: x^2+y^2=4

and the parabola

P: y^2=8 x

. If the set of all values of

\alpha

, for which three chords of the circle

C

on three distinct lines passing through the point

(\alpha, 0)

are bisected by the parabola

P

is the interval

(p, q)

, then

(2 q-p)^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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