The angle between the lines 2x - y + 3 = 0 and x + 2y + 3 = 0 is: - Vidyadip

MCQ

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

A
90°
B
60°
C
45°
D
30°

✓

Answer

90°

Solution:

Let m₁ and m₂ be the slope of the lines 2x - y + 3 = 0 and x + 2y + 3 = 0, respectively.

Let $\theta$ be the angle between them.

Here, m₁ = 2 and $\text{m}_2=-\frac{1}{2}$

$\because\text{m}_1\text{m}_2=-1$

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

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