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

Answer :

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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