Straight Line Question 288

Question: If the coordinates of A and B be (1, 1) and (5, 7), then the equation of the perpendicular bisector of the line segment AB is

Options:

A) $ 2x+3y=18 $

B) $ 2x-3y+18=0 $

C) $ 2x+3y-1=0 $

D) $ 3x-2y+1=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Mid-point is (3, 4) Slope of perpendicular $ =\frac{-1}{6/4}=\frac{-2}{3} $ Hence the line is $ 2x+3y=18 $ .