Q. 24.0( 4 Votes )
Find the acute angle between the lines 2x – y + 3 = 0 and x + y + 2 = 0.
Answer :
Given:
The equations of the lines are
2x − y + 3 = 0 … (1)
x + y + 2 = 0 … (2)
To find:
Angles between two lines.
Explanation:
Let m1 and m2 be the slopes of these lines.
m1 = 2, m2 = -1
Let θ be the angle between the lines.
Then,
⇒
Hence, the acute angle between the lines is
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