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3D Geometry question

2025 · 22 Jan · Shift 1 · Q28

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JEE Main
Mathematics
3D Geometry
2025 · 22 Jan · Shift 1 · Q28

3D Geometry question

2025 · 22 Jan · Shift 1 · Q28

JEE MainMathematics3D GeometryMCQ+4 / −1

Let

\mathrm{L}_1: \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}

and

\mathrm{L}_2: \frac{x-2}{3}=\frac{y-4}{4}=\frac{z-5}{5}

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

\mathrm{L}_1

and

\mathrm{L}_2

?

A
$\left(\frac{14}{3},-3, \frac{22}{3}\right)$
B
$\left(2,3, \frac{1}{3}\right)$
C
$\left(\frac{8}{3},-1, \frac{1}{3}\right)$
D
$\left(-\frac{5}{3},-7,1\right)$

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