Q. 185.0( 5 Votes )
Find the equation of the right bisector of the line segment joining the points (3, 4) and (-1, 2).
Answer :
Given: A (3, 4) and B (− 1, 2) be the given points
To find:
Equation of the right bisector of the line segment joining the points (3, 4) and (-1, 2).
Explanation:
Let C be the midpoint of AB.
∴ C
∵ Slope of AB 
∴ Slope of the perpendicular bisector of AB = -2
Thus, the equation of the perpendicular bisector of AB is
y-3 = -2(x-1)
⇒ 2x + y – 5 = 0
Hence, the required line is 2x + y – 5 = 0.
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