Q. 1 B5.0( 1 Vote )

# Find the angles between each of the following pairs of straight lines :3x – y + 5 = 0 and x – 3y + 1 = 0

Given:

The equations of the lines are

3x y + 5 = 0 … (1)

x 3y + 1 = 0 … (2)

To find:

Angles between two lines.

Explanation:

Let m1 and m2 be the slopes of these lines.

m1 = 3, m2

Let θ be the angle between the lines.
Then,

Hence, the acute angle between the lines is

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