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 ).
32
69
Since there is no requirement for the line to be straight, the answer is infinitely many. Otherwise, 4.
Six (6)
Minimum and maximum requirements: three straight lines meeting pairwise. Minimum and maximum requirements: three straight lines meeting pairwise. Minimum and maximum requirements: three straight lines meeting pairwise. Minimum and maximum requirements: three straight lines meeting pairwise.
32
No two circles can intersect more than twice. Each circle can intersect with each other circle. Thus there ought to be 2 × 30 × (30 - 1) intersections. However, this counts each intersection twice: once for each circle. Thus the answer is half this, giving: maximum_number_of_intersections = ½ × 2 × 30 × (30 - 1) = 30 × 29 = 870.
69
In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire plane.
discuss the possible number of points of interscetion of two distinct circle
6 maximum points of intersection
Since there is no requirement for the line to be straight, the answer is infinitely many. Otherwise, 4.
15 mph
of average product.
Six (6)
Minimum and maximum requirements: three straight lines meeting pairwise. Minimum and maximum requirements: three straight lines meeting pairwise. Minimum and maximum requirements: three straight lines meeting pairwise. Minimum and maximum requirements: three straight lines meeting pairwise.
10.