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JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

There are 10 points in a plane of which no three points are collinear and 4 points are concyclic. The number of different circles that can be drawn through at least 3 points of these points is

Answer: (C)

Solution

Any 3 non-collinear points determine exactly one circle. If no 4 points were concyclic, there would be circles. But the trios taken from the 4 concyclic points all give the

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Question ID VK-108173