Straight Line And Pair Of Straight Lines Ques 74

Answer:

Correct Answer: 74.(c)

Solution:

74. The line segment $Q R$ makes an angle of $60^{\circ}$ with the positive direction of $X$-axis.

So, the bisector of the angle $P Q R$ will make an angle of $60^{\circ}$ with the negative direction of $X$-axis, it will therefore have angle of inclination of $120^{\circ}$ and so, its equation is

$ \begin{array}{rlrl} & y-0 =\tan 120^{\circ}(x-0) \\ \Rightarrow & y =-\sqrt{3} x \\ \Rightarrow & y+\sqrt{3} x =0 \end{array} $