Coordinate Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 6 Apr, Evening shift · Q11

JEE Main 20266 Apr, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

The eccentricity of an ellipse E with centre at the origin O is

\dfrac{\sqrt3}{2}

and its directrices are

x=\pm\dfrac{4\sqrt6}{3}

. Let

H: \dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1

be a hyperbola whose eccentricity is equal to the length of semi-major axis of E, and whose length of latus rectum is equal to the length of minor axis of E. Then the distance between the foci of H is :

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JEE Main 2026 Coordinate Geometry Question with Solution (6 Apr Evening shift, Q11) | JEE Arc