AP EAMCET · Maths · Straight Lines
A line L passing through the point \(\mathrm{P}(-5,-4)\) cuts the line \(x-y-5=0\) and \(x+3 y+2=0\) respectively at Q and R such that \(\frac{18}{P Q}+\frac{15}{P R}=2\), then slope of the line \(L\) is
- A \(\pm 1\)
- B \(\pm \frac{1}{\sqrt{3}}\)
- C \(\pm \sqrt{3}\)
- D \(\pm \frac{2}{\sqrt{3}}\)
Answer & Solution
Correct Answer
(C) \(\pm \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Equation of line passing through \(\mathrm{P}(-5,-4)\) and making angle \(\theta\) with \(x\)-axis is \(\frac{x+5}{\cos \theta}=\frac{y+4}{\sin \theta}=r\) \(\Rightarrow x=-5+r \cos \theta, y=-4+r \sin \theta\) Equation of line PQ where Q lies on \(x-y-5=0\) is…
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