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3D Geometry question

2004 · Shift 0 · Q93

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PYQ Library
JEE Main
Mathematics
3D Geometry
2004 · Shift 0 · Q93

3D Geometry question

2004 · Shift 0 · Q93

JEE MainMathematics3D GeometryMCQ+4 / −1

A line with direction cosines proportional to

2,1,2

meets each of the lines

x=y+a=z

and

x+a=2y=2z

. The co-ordinates of each of the points of intersection are given by :

A
$\left( {2a,3a,3a} \right),\left( {2a,a,a} \right)$
B
$\left( {3a,2a,3a} \right),\left( {a,a,a} \right)$
C
$\left( {3a,2a,3a} \right),\left( {a,a,2a} \right)$
D
$\left( {3a,3a,3a} \right),\left( {a,a,a} \right)$

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