Find the angles between each of the following pairs of straight lines :
x – 4y = 3 and 6x – y = 11
Given:
The equations of the lines are
x − 4y = 3 … (1)
6x − y = 11 … (2)
To find:
Angles between two lines.
Explanation:
Let m1 and m2 be the slopes of these lines.
m1m2 = 6
Let θ be the angle between the lines.
Then,
⇒
Hence, the acute angle between the lines is