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What is the maximum number of times x circles of the same size can intersect each other?


Options:
A .   2x
B .   (x - 1)
C .   x(x-1)
D .   x(x+1)/2
Answer: Option C
:
C

Deducing a Pattern:


Taking two circles. The number of points of intersection is 2 at most.


If u consider 3 circles, the number of points of intersection = 6 ( the third circles will have 4 points of intersection with the other 2 circles and those two circles will have 2 points together).


Shortcut:- Assumption & Reverse Gear:


Taking two circles. The number of points of intersection is 2 at most. From this itself, option a, b and d can be eliminated giving answer c.



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