Consider the parabola and ellipse | Ellipse | JEE-MAIN 2026

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Jee Main 2026

04 - 04 - 2026 S1

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Consider the parabola $\mathrm{P}: y^2=4 k x$ and the ellipse $\mathrm{E}: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$. Let the line segment joining the points of intersection of P and E , be their latus rectums. If the eccentricity of E is $e$, then $e^2+2 \sqrt{2}$ is equal to $\_\_\_\_$ .

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