What is the maximum number of points of intersection of two different lines and three different circles in the same plane?

I keep on getting 18, but that is not one of the answer choices I am given.

A:9

B:13

C:19

D:22

E:25

suggestions?

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- Mar 25th 2010, 04:28 PMrtblueIntersection points
What is the maximum number of points of intersection of two different lines and three different circles in the same plane?

I keep on getting 18, but that is not one of the answer choices I am given.

A:9

B:13

C:19

D:22

E:25

suggestions? - Mar 25th 2010, 04:49 PMPlato
Counting the intersection point of the two lines, I find 13.

Please show us how you get 18. - Mar 25th 2010, 04:56 PMrtblue
I understand now, how you are going about this problem. You are drawing a coordinate plane, with 3 concentric circles, all 3 intersecting with the X and Y axes correct?

Well, according to the answer key that I am given, the correct answer is 19.