TS EAMCET · Maths · Straight Lines
Suppose a line makes an angle of \(120^{\circ}\) with the positive direction of \(X\)-axis. If the length of the perpendicular from origin to that line Is 4 , then the equation of the line is
- A \(-\sqrt{3} x+y=8\)
- B \(\sqrt{3} x+y=8\)
- C \(\sqrt{3} x-y=8\)
- D \(\sqrt{3} x+y=-8\)
Answer & Solution
Correct Answer
(B) \(\sqrt{3} x+y=8\)
Step-by-step Solution
Detailed explanation
A line makes an angle of \(120^{\circ}\) with positive direction of \(X\)-axis. Given, \( \begin{aligned} & P=4 \\ & \alpha=120^{\circ}-90^{\circ}=30^{\circ} \end{aligned} \) \(\therefore\) Equation of line is \(x \cos \alpha+y \sin \alpha=P\)…
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