CGPET 2019 Solved Paper

Since, x=2 is parallel to Y -axis.
So, the angle between the line x=2 and x−3y=6 is the angle between x−3y=6 and Y -axis which is given by
tan‌θ=|

1

m

|, where m is the slope of the line
x−3y=6
Consider the line x−3y=6,−3y=6−x
⇒y=

x−6

3

=

x

3

−2
Slope of the line x−3y=6 is

1

3

Therefore, tan‌θ=|

1

1 3

|=|3| ⇒θ=tan−1(3)