Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let n ≥ 2 be an integer. Take n 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 n is
Text Solution
Verified by ExpertsThe correct answer is:
5
(5)
Sol. Number of adjacent lines = n
Number of line segment joining non-adjacent points is n C 2 – n.
Now, n = ( n C 2 – n) ⇒ 2n = 
⇒ n = 0, 5
But n ≥ 2. so, n = 5.
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