AP EAMCET · Maths · Straight Lines
The angle between the lines \(2 x+11 y-7=0\) and \(x+3 y+5=0\) is
- A \(\tan ^{-1}\left(\frac{17}{13}\right)\)
- B \(\tan ^{-1}\left(\frac{4}{35}\right)\)
- C \(\tan ^{-1}\left(\frac{1}{7}\right)\)
- D \(\tan ^{-1}(7)\)
Answer & Solution
Correct Answer
(C) \(\tan ^{-1}\left(\frac{1}{7}\right)\)
Step-by-step Solution
Detailed explanation
Given lines \(2 x+11 y-7=0\) \(\begin{gathered} \text{and } x+3 y+5=0 \\ m_1=-\frac{2}{11}, m_2=-\frac{1}{3} \\ \tan \theta=\left|\frac{m_1-m_2}{1+m_1 m_2}\right|=\frac{1}{7} \\ \theta=\tan ^{-1}\left(\frac{1}{7}\right) \end{gathered}\)
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