If the vertices of a triangle are (-2,3), (6,-1) and (4,3), then the co-ordinates of the circumcenter of the triangle are

MHT CET 2023 Mathematics question

If the vertices of a triangle are and , then the co-ordinates of the circumcenter of the triangle are

(A)(1, 1)
(B)(-1, -1)
(C)(-1, 1)
(D)(1, -1)Correct

Answer: (D)

Solution

The circumcentre is equidistant from all three vertices. The side joining and is horizontal, so its perpendicular bisector is . Let the circumcentre be . Equating distances to and :

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Question ID VK-096423