CGPET 2018 Solved Paper

Given, line (I)

x

1

=

y

2

=

z

3

and Line (II)

x−1

−2

=

y−2

−4

=

z−3

−6

Direction ratio of line (I)

x

1

=

y

2

=

z

3

is (1,2,3).and direction ratio of line (II)

x−1

−2

=

y−2

−4

=

z−3

−6

is (−2,−4,−6)=(1,2,3)
Hence, direction ratio are equal of both given lines. So, lines are parallel.