# Find the coordinates of a point equidistant from two given points

The Coordinates of two points are A(-2,6) and B(9,3). Find the coordinates of the point C on the x-axis such that AC = BC

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Use the distance formula on a point $(c,0)$ ; solve for $c$. –  Ｊ. Ｍ. Nov 24 '10 at 14:19

Given two points $A$ and $B$, the line that is perpendicular to the segment $AB$ and goes through its midpoint is precisely the set of points that are equidistant from $A$ and $B$.