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Conic Sections: JEE Mains 2022 June 29 Shift 1

Hard· Parabola· +4 / −1

Let

PQ

be a focal chord of the parabola

y^2=4x

such that it subtends an angle of

\dfrac\pi2

at the point

(3,0)

. Let the line segment

PQ

be also a focal chord of the ellipse

E:\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

,

a^2>b^2

. If

e

is the eccentricity of the ellipse

E

, then the value of

\dfrac{1}{e^2}

is equal to :

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