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3D Geometry question

2008 · Shift 2 · Q26

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2008 · Shift 2 · Q26

3D Geometry question

2008 · Shift 2 · Q26

JEE AdvancedMathematics3D GeometryMCQ+3 / −1

Consider the lines,

{L_1}:{{x + 1} \over 3} = {{y + 2} \over 1} = {{z + 1} \over 2}{L_2}:{{x - 2} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}

The distance of the point

(1, 1, 1)

from the plane passing through the point

(-1, -2, -1)

and whose normal is perpendicular to both the lines

{L_1}

and

{L_2}

is :

A
${2 \over {\sqrt {75} }}$
B
${7 \over {\sqrt {75} }}$
C
${13 \over {\sqrt {75} }}$
D
${23 \over {\sqrt {75} }}$

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