TS EAMCET · Maths · Straight Lines
A straight line parallel to the line \(y=\sqrt{3} x\) passes through \(Q(2,3)\) and cuts the line \(2 x+4 y-27=0\) at \(P\). Then the length of the line segment \(\mathrm{PQ}\) is
- A \(2 \sqrt{3}+1\)
- B \(\sqrt{3}+1\)
- C \(2 \sqrt{3}-1\)
- D \(\sqrt{3}-1\)
Answer & Solution
Correct Answer
(D) \(\sqrt{3}-1\)
Step-by-step Solution
Detailed explanation
Slope of parallel lines are equal \(\therefore\) slope of line parallel to \(P Q=\sqrt{3}\) \[ \therefore \theta=60^{\circ} \] \(\mathrm{P}\) is a point at \(\mathrm{r}\) distance from \(\mathrm{Q}\) \(\therefore\) Co-ordinates of \(\mathrm{Q}\)…
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