Q. 35.0( 3 Votes )
Find the equation of the perpendicular bisector of the line joining the points (1, 3) and (3, 1).
Answer :
Given: A (1, 3) and B (3, 1) be the points joining the perpendicular bisector
To find:
The equation of the perpendicular bisector of the line joining the points (1, 3) and (3, 1).
Explanation:
Let C be the midpoint of AB.
∴ coordinates of c 
Slope of AB 
∴ Slope of the perpendicular bisector of AB = 1
Thus, the equation of the perpendicular bisector of AB is
y – 2 = 1(x – 2)
⇒ x – y = 0
Or, y = x
Hence, the equation is y = x.
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