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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Let be an integer. Take distinct points on a circle and join each pair of points by a line segment. Colour the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of is

Answer: 5

Solution

The number of adjacent pairs (blue segments) is , and the total number of segments is , so the red segments number

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Question ID VK-020851