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Question 117

The equation of the perpendicular bisector of the line segment joining the points (-2, 3) and (1, -2) is

Solution

Points to remember: The perpendicular bisector will pass through the mid-point of the segment obtained by joining the given points.
The product of slope of the bisector and the slope of the segment = -1

Firstly, mid-point of the segment = [(-2+1)/2, (3-2)/2] = (-1/2, 1/2)
hence, perpendicular bisector passes through this point.

Slope of the segment = (-2-3)/(1+2) = -5/3
Hence, slope of perpendicular bisector = 3/5

Now, equation of perpendicular bisector:
(y - 1/2) = (3/5)*(x+1/2)
Solving the equation gives us option B

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