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Parabola

JEE Main 2024 (Online) 5th April Morning Shift

INTEGER+4 / -12024

Suppose \(\mathrm{AB}\) is a focal chord of the parabola \(y^2=12 x\) of length \(l\) and slope \(\mathrm{m}<\sqrt{3}\). If the distance of the chord \(\mathrm{AB}\) from the origin is \(\mathrm{d}\), then \(l \mathrm{~d}^2\) is equal to _________.

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