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3D Geometry question

2025 · 29 Jan · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
3D Geometry
2025 · 29 Jan · Shift 1 · Q26

3D Geometry question

2025 · 29 Jan · Shift 1 · Q26

JEE MainMathematics3D GeometryMCQ+4 / −1

Let

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

and

\mathrm{L}_2: \frac{x+1}{-1}=\frac{y-2}{2}=\frac{z}{1}

be two lines. Let

L_3

be a line passing through the point

(\alpha, \beta, \gamma)

and be perpendicular to both

L_1

and

L_2

. If

L_3

intersects

\mathrm{L}_1

, then

|5 \alpha-11 \beta-8 \gamma|

equals :

A
25
B
20
C
16
D
18

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