Question
Show that the lines 
do not intersect each other.
Solution
The equations of lines are
...(1)
...(2)
Any point on the line (1) is (3r + 1, 2r – 1, 5r + 1)
It lies on line (2)
if
i.e., if
...(3)
From the first and second numbers,
Substituting this value of r in (3), we get,
or
which is not true
∴ the given lines do not intersect.
...(1) ...(2)Any point on the line (1) is (3r + 1, 2r – 1, 5r + 1)
It lies on line (2)
if
i.e., if
...(3)From the first and second numbers,
Substituting this value of r in (3), we get,
or
which is not true∴ the given lines do not intersect.
