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Cartesian plane

Question

The number of points equidistant to three given distinct non-collinear points, is

Moderate
Solution

 

The required point is the circumcentre of the triangle which is unique.



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If an triangle ABC,A(1,10),circumcentre (1/3,  2/3), and orthocentre (11/3,  4/3), then the coordinates of the midpoint of the side opposite to A are 


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