Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q208

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

Let

L_1: \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4}

and

L_2: \frac{x-2}{3} = \frac{y-4}{4} = \frac{z-5}{6}

be two lines. Then which of the following points lies on the line of the shortest distance between

L_1

and

L_2

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JEE Main 2025 Three Dimensional Geometry Question with Solution (January Unspecified (session-level dataset), Q208) | JEE Arc

JEE Main 2025 · January, Unspecified (session-level dataset) · Q208

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

Let

L_1: \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4}

and

L_2: \frac{x-2}{3} = \frac{y-4}{4} = \frac{z-5}{6}

be two lines. Then which of the following points lies on the line of the shortest distance between

L_1

and

L_2