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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

Two vertices of an equilateral triangle are and , and its third vertex lies above the -axis. The equation of the circumcircle of the triangle is

Answer: (C)

Solution

The side is , so the third vertex is . In an equilateral triangle the circumcentre is the centroid, . The circumradius is

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Question ID VK-108892