Question:
What is the angle between the two straight lines
\[
y = (2 - \sqrt{3})x + 5 \quad \text{and} \quad y = (2 + \sqrt{3})x - 7?
\]
What is the angle between the two straight lines
\[
y = (2 - \sqrt{3})x + 5 \quad \text{and} \quad y = (2 + \sqrt{3})x - 7?
\]
Show Hint
To find the angle between two lines, use the formula involving the slopes of the lines.
Updated On: Jan 14, 2026
- 60°
- 30°
- 45°
- 15°
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The Correct Option is A
Solution and Explanation
The angle between two lines is given by the formula:
\[
\tan \theta = \left| \frac{m_1 - m_2}{1 + m_1 m_2} \right|
\]
where \( m_1 \) and \( m_2 \) are the slopes of the two lines. After substituting the values for \( m_1 \) and \( m_2 \), we find the angle \( \theta = 60^\circ \).
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