MathematicsMedium249×since 2002Q2477A line with direction cosines proportional to 2,1,22,1,22,1,2 meets each of the lines x=y+a=zx=y+a=zx=y+a=z and x+a=2y=2zx+a=2y=2zx+a=2y=2z . The co-ordinates of each of the points of intersection are given by :A(2a,3a,3a),(2a,a,a)\left( {2a,3a,3a} \right),\left( {2a,a,a} \right)(2a,3a,3a),(2a,a,a)B(3a,2a,3a),(a,a,a)\left( {3a,2a,3a} \right),\left( {a,a,a} \right)(3a,2a,3a),(a,a,a)C(3a,2a,3a),(a,a,2a)\left( {3a,2a,3a} \right),\left( {a,a,2a} \right)(3a,2a,3a),(a,a,2a)D(3a,3a,3a),(a,a,a)\left( {3a,3a,3a} \right),\left( {a,a,a} \right)(3a,3a,3a),(a,a,a)Check answerSkip