A right triangle is formed by connecting the 3 coordinates A, B and C as shown in figure. Find the coordinates of point B if AB and BC are parallel to the coordinate axes.
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Solution
The point B lies on both the lines AB and BC.
Since BC is parallel to the X-axis, the ordinate of B is 1.
AB is parallel to the Y-axis, so its abscissa is 1.
Thus, the coordinates of point B = (1,1).