Question
What is the maximum number of points of intersection of two different lines and three different circles in the same plane?
Answers
Reiny
the three circles can cut each other in 6 different points (think of a typical Venn diagram)
A line can cut a circle in 2 point
so each line can cut all the circles in 6 points
so total = 6 + 6 + 6 = 18
BUT, let's not forget that the two lines can also intersect
so the total is 19
A line can cut a circle in 2 point
so each line can cut all the circles in 6 points
so total = 6 + 6 + 6 = 18
BUT, let's not forget that the two lines can also intersect
so the total is 19