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