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Question

The angle between the lines 2x − y + 3 = 0 and x + 2y + 3 = 0 is

(a) 90°
(b) 60°
(c) 45°
(d) 30°
(e) 180°


Solution

(a) 90°

Let m1 and m2 be the slope of the lines 2x − y + 3 = 0 and x + 2y + 3 = 0, respectively.
Let θ be the angle between them.

Here, m1 =2 and m2=-12

m1m2=-1

Therefore, the angle between the given lines is 90°.

Mathematics
RD Sharma XI (2015)
Standard XI

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