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 :

Question

$\left( {2a,3a,3a} \right),\left( {2a,a,a} \right)$

$\left( {3a,2a,3a} \right),\left( {a,a,a} \right)$

$\left( {3a,2a,3a} \right),\left( {a,a,2a} \right)$

$\left( {3a,3a,3a} \right),\left( {a,a,a} \right)$

Solution

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