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Question
The angle between the lines 2x − y + 3 = 0 and x + 2y + 3 = 0 is
Options
90°
60°
45°
30°
180°
Solution
90°
Let \[m_1 \text { and } m_2\] be the slope of the lines 2x − y + 3 = 0 and x + 2y + 3 = 0, respectively.
Let \[\theta\] be the angle between them.
Here,
\[m_1 = 2 \text { and } m_2 = - \frac{1}{2}\]
\[\because m_1 m_2 = - 1\]
Therefore, the angle between the given lines is 90°.
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