MathsJEE Main 4 Apr 2026, Shift 1·Q22·Numerical·Moderate

Conic Sections · Latus rectum of parabola and ellipse

Consider the parabola

P : y^2 = 4kx

and the ellipse

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

. Let the line segment joining the points of intersection of

P

and

E

, be their latus rectums. If the eccentricity of

E

e

, then

e^2 + 2\sqrt2

is equal to .

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