Let T n be the number of all possible triangles formed by joining vertices of an n -sided regular polygon.…

Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1-Tn=10, then the value of n is :
  1. 10
  2. 8
  3. 5
  4. 7

Solution

Number of triangles =C3n

Given:C3n+1-C3n=10  

n2-n-20=0  

n-5n+4=0

n=5,  n0

Asked in: JEE Main 2013 (07 Apr)

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