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
y = x + 1
y = x - 1
y = 3x - 5
y = x
A.
Equation of line AB is
y - 7 = 4 - 73 - 3x - 3⇒ x - 3 = 0 ...(i)and equation of line BC is y - 4 = 4 - 45 - 3x - 3⇒ y - 4 = 0
∴ Equation of the bisector of angle ABC is x - 312 = ± y - 412⇒ x - 3 = ± y - 4⇒ x - y + 1 = 0⇒ x + y - 7 = 0⇒ y = x + 1