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3D Geometry question

2023 · 12 Apr · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
3D Geometry
2023 · 12 Apr · Shift 1 · Q26

3D Geometry question

2023 · 12 Apr · Shift 1 · Q26

JEE MainMathematics3D GeometryMCQ+4 / −1

Let the lines

l_{1}: \frac{x+5}{3}=\frac{y+4}{1}=\frac{z-\alpha}{-2}

and

l_{2}: 3 x+2 y+z-2=0=x-3 y+2 z-13

be coplanar. If the point

\mathrm{P}(a, b, c)

on

l_{1}

is nearest to the point

\mathrm{Q}(-4,-3,2)

, then

|a|+|b|+|c|

is equal to

A
12
B
14
C
10
D
8

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