Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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The Angle Between the Lines 2x − Y + 3 = 0 and X + 2y + 3 = 0 is - Mathematics

MCQ

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

Options

  •  90°

  •  60°

  •  45°

  •  30°

  •  180°

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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°.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 23 The straight lines
Q 24 | Page 134
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