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