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°

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Solution

(a) 90°

Let $m_{1} and m_{2}$ be the slope of the lines 2x − y + 3 = 0 and x + 2y + 3 = 0, respectively.
Let $θ$ be the angle between them.

Here, $m_{1} = 2 and m_{2} = - \frac{1}{2}$

$∵ m_{1} m_{2} = - 1$

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

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