Straight Lines
Angle Bisectors
Grade 11
Question:
<p>Let \(P(-1, 0)\), \(Q(0, 0)\), \(R(3, 3\sqrt{3})\) be three points then the equation of the bisector of the angle \(\angle PQR\) is:</p>
<p>(a) \(\frac{\sqrt{3}}{2}x + y = 0\)</p>
<p>(b) \(x + \sqrt{3}y = 0\)</p>
<p>(c) \(\sqrt{3}x + y = 0\)</p>
<p>(d) \(x + \frac{\sqrt{3}}{2}y = 0\)</p>
Step-by-Step Solution
Key Concept: Find the slopes of QP and QR, then use the angle bisector formula: the bisector has slope equal to the average of the two slopes (adjusted for the tangent of half-angle).
<p>Not provided in source text</p>
Correct Answer: c