TS 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 0
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{2}\)
- D \(\pi\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
Slope of line passing through \((1,-2)\) and \((3,2)\) is \[ m_1=\frac{2+2}{3-1}=2 \] Slope of the line \(x+2 y-7=0\) \[ m_2=-\frac{1}{2} \] Now, \(\quad m_1 m_2=2 \times \frac{-1}{2}=-1\) \(\therefore\) Angle between the line joining the points \((1,-2)\) and \((3,4)\) and the…
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