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Straight Lines And Pair Of Straight Lines

JEE Main 2024 (Online) 5th April Morning Shift

MCQ+4 / -12024

Let two straight lines drawn from the origin \(\mathrm{O}\) intersect the line \(3 x+4 y=12\) at the points \(\mathrm{P}\) and \(\mathrm{Q}\) such that \(\triangle \mathrm{OPQ}\) is an isosceles triangle and \(\angle \mathrm{POQ}=90^{\circ}\). If \(l=\mathrm{OP}^2+\mathrm{PQ}^2+\mathrm{QO}^2\), then the greatest integer less than or equal to \(l\) is :

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