Let `ngeq2`be integer. Take `n`distinct points on a circle and join each pair of pointsby a line segment. Color the linesegment joining every pair of adjacent points by blue and the rest by red. Ifthe number of red and blue line segments are equal, then the value of `n`is

Let `ngeq2`be integer. Take `n`distinct points on a circle and join ea

1.	Let `ngeq2`be integer. Take `n`distinct points on a circle and join each pair of pointsby a line segment. Color the linesegment joining every pair of adjacent points by blue and the rest by red. Ifthe number of red and blue line segments are equal, then the value of `n`is
Answer» Number of adjacent lines=n Number of non-adjacent lines`=.^(n)C_(2)-n=(n(n-3))/(2)` `therefore (n(n-3))/(2)=n implies(n(n-5))/(2)=0 impliesn=0` or 5 but `2 ge 2 impliesn=5`

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Let `ngeq2`be integer. Take `n`distinct points on a circle and join each pair of pointsby a line segment. Color the linesegment joining every pair of adjacent points by blue and the rest by red. Ifthe number of red and blue line segments are equal, then the value of `n`is

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