Maximum and minimum number of intersecting points between 5 circles drawn in a plane are

M4maths Previous Puzzles

31 Jul 2009 circle in a plane

Maximum and minimum number of intersecting points between 5 circles drawn in a plane are

OPtion

1) 16, 0
2) 18, 2
3) 10, 4
4) 12, 4
5) 20, 0
6) 10, 0
7) 22, 0
8) 12, 2
9) 20, 1
10) 16, 1

Solution

Every circle intersects other circle in maximum 2 points or minimum 0 point.
Total number of combinations of circle are 10 hence maximum points are 20.
Minimum intersecting points are 0.

Correct Option: 5 Best Solution (0)