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3D Geometry question

2024 · 9 Apr · Shift 1 · Q49

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JEE Main
Mathematics
3D Geometry
2024 · 9 Apr · Shift 1 · Q49

3D Geometry question

2024 · 9 Apr · Shift 1 · Q49

JEE MainMathematics3D GeometryMCQ+4 / −1

Let the line

\mathrm{L}

intersect the lines

x-2=-y=z-1,2(x+1)=2(y-1)=z+1

and be parallel to the line

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

. Then which of the following points lies on

\mathrm{L}

?

A
$\left(-\frac{1}{3}, 1,-1\right)$
B
$\left(-\frac{1}{3},-1,1\right)$
C
$\left(-\frac{1}{3},-1,-1\right)$
D
$\left(-\frac{1}{3}, 1,1\right)$

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