AP EAMCET · Maths · Straight Lines
The angle between the line joining the points \((1,-2),(3,2)\) and the line \(x+2 y-7=0\) is
- A \(\pi\)
- B \(\pi / 2\)
- C \(\pi / 3\)
- D \(\pi / 6\)
Answer & Solution
Correct Answer
(B) \(\pi / 2\)
Step-by-step Solution
Detailed explanation
Given the line joining the points \((1,-2)(3,2)\) and \(x+2 y-7=0\). Slope of the lines are \(m_1=\frac{2+2}{3-1}=2 \quad\) and \(\quad m_2=-\frac{1}{2}\) Now, \(m_1 \times m_2=2 \times \frac{-1}{2}=-1\) \(\therefore\) Lines are perpendicular, so angle is \(\frac{\pi}{2}\).
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