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3d Geometry

JEE Main 2023 (Online) 25th January Morning Shift

MCQ+4 / -12023

Consider the lines \(L_1\) and \(L_2\) given by


\({L_1}:{{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 2} \over 2}\)


\({L_2}:{{x - 2} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}\).


A line \(L_3\) having direction ratios 1, \(-\)1, \(-\)2, intersects \(L_1\) and \(L_2\) at the points \(P\) and \(Q\) respectively. Then the length of line segment \(PQ\) is

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