Q. The vertices of a triangle are $A(3,7),\ B(3,4)$ and $C(5,4)$. The equation of the bisector of the angle $ABC$ is
A) $y = x + 1$
B) $y = x - 1$
C) $y = 3x - 5$
D) $y = x$
Explanation
(a)
Required line is passing through (3, 4) and having slope 1.
$\therefore$ Equation of required line is
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$y - 4 = 1(x - 3)$
$\Rightarrow \ x - y + 1 = 0$
$\Rightarrow \ y = x + 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.