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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