Asked by jagrit

find a point equidistant from
the points (3,1) and (5,6) ,if its abscisaa is equal to its ordinate.

Answers

Answered by Steve
such a point will lie on the perpendicular bisector of the line between the two points. Since the slope of that line is 5/2, your point will lie on the line

y - 7/2 = -2/5 (x-4)

A point on that line with equal x- and y-coordinates will be

x - 7/2 = -2/5 (x-4)
or,
(51/14,51/14)
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