Question:
In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be 70, then the number of diagonals of the polygon is
In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be 70, then the number of diagonals of the polygon is
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Each intersection is formed by choosing 4 vertices.
Updated On: Mar 18, 2026
- 20
- 28
- 8
- None of these
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Number of intersection points: n4=70 n=8
Step 2: Diagonals: (n(n-3))/(2)=(8×5)/(2)=20
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