Q. The line $2x - y = 1$ bisects angle between two lines. If equation of one line is $y = x,$ then the equation of the other line is
A) $7x - y - 6 = 0$
B) $x - 2y + 1 = 0$
C) $3x - 2y - 1 = 0$
D) $x - 7y + 6 = 0$
Explanation
(b)
Let the another equation of line is
$x - 2y + 1 = 0$
$\therefore\$Equation of bisector of angle between two lines is
$\frac{2x - y - 1}{\sqrt{4 + 1}} = \pm \frac{x - 2y + 1}{\sqrt{1 + 4}}$
$\Rightarrow \ x + y - 2 = 0\ and\ x = y$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.