#### A line with direction cosines proportional to 2, 1, 2 meets each of the lines   and The co­ordinates of each of the points of intersection are given by Option 1) Option 2) Option 3) Option 4)

As we learnt in

Direction Cosines -

i)

ii)    If OP =r then the co-ordinates of P will be (lr,mr,nr)

iii)    Direction cosines of X-axis are (1,0,0)

iv)    Direction cosines of Y-axis are (0,1,0)

v)    Direction cosines of Z-axis are (0,0,1)

-

Cartesian eqution of a line -

The equation of a line passing through two points and parallel to vector having direction ratios as is given by

The equation of a line passing through two points  is given by

- wherein

Point is

Now DCs are proportional to (2, 1, 2)

So

On solving

We get points (3a,2a,3a) and (a,a,a).

Option 1)

Incorrect Option

Option 2)

Correct Option

Option 3)

Incorrect Option

Option 4)

Incorrect Option