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

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(x - 1)

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x(x-1)

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x(x+1)/2

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Solution

The correct option is C x(x-1)
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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