AP EAMCET · Maths · Straight Lines
The angle between the straight lines \(3 x+4 y+9=0\) and \(x-7 y-22=0\) is
- A \(\frac{\pi}{4}\)
- B \(\frac{\pi}{6}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{8}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{4}\)
Step-by-step Solution
Detailed explanation
Given, straight lines are \(l_1: 3 x+4 y+9=0\) ...(i) \(l_2: x-7 y-22=0\) ...(ii) Slope of line \(l_1=\frac{- \text { Coefficient of } x}{\text { Coefficient of } y}\) \(\therefore \quad m_1=\frac{-3}{4}\) Slope of line \(l_2=\frac{-1}{-7}\) \(\therefore \quad m_2=\frac{1}{7}\)…
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