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:

✓
$90^\circ$
B
$60^\circ$
C
$45^\circ$
D
$30^\circ$

✓

Answer

Correct option: A.

$90^\circ$

Let $m_1$ and $m_2$ be the slope of the lines $2x - y + 3 = 0$ and $x + 2y + 3 = 0,$ respectively.
Let $\theta$ be the angle between them.
Here, $m_1= 2$ and $\text{m}_2=-\frac{1}{2}$
$\because\text{m}_1\text{m}_2=-1$
Therefore, the angle between the given lines is $90^\circ .$

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