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 [AIEEE 2004]

\[(3a,\,2a,\,3a),(a,\,a,\,2a)\]

\[(2a,\,\,a,\,3a),(2a,\,a,\,a)\]

\[(3a,\,2a,\,3a),\ (a,\,a,\,a)\]

A line with direction cosines proportional to 2,1, 2 meets each of the

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 [AIEEE 2004]
A.	\[(2a,\,\,a,\,3a),(2a,\,a,\,a)\]
B.	\[(3a,\,2a,\,3a),\ (a,\,a,\,a)\]
C.	\[(3a,\,2a,\,3a),(a,\,a,\,2a)\]
D.	\[(3a,\,3a,\,3a),(a,\,a,\,a)\]
Answer» C. \[(3a,\,2a,\,3a),(a,\,a,\,2a)\]

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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 [AIEEE 2004]

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