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Earn +20 ptsQ: What is the maximum number of points in which 4 lines can intersect?
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What is the maximum number of points of intersection when two circles and five straight lines intersect each other?
When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).
What is the maximum number of points of intersection when two circles and five strait lines intersect ecah other?
32
What are the number of points at which 2 parallel lines intersect?
Zero; parallel lines never intersect.
Is this statement true or falseIf two lines intersect, they intersect in an infinite number of points.?
false
Do 3 lines that intersect in 3 points?
A triangle? Three lines that intersect in three points.
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