JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

The equation of the circumcircle of the regular hexagon whose two consecutive vertices have the coordinates and and which lies wholly above the -axis, is

Answer: (A)

Solution

The side of the hexagon is . For a regular hexagon the circumradius equals the side, so . The centre is on the perpendicular bisector of the given side,

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Question ID VK-108901