discuss the possible number of points of interscetion of two distinct circle
Orgin is the intersection of horizontal and vertical number lines.
Origin
A composite number is a number that is not a prime number, ie it has more than two distinct factors. The factors of 25 are 1, 5, 25 - three distinct factors.
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.
2
Six (6)
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
6 maximum points of intersection
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.
10.
21
With n lines, the maximum number is n*(n-1)/2. The minimum is 0.
8
12
If the circle is inside the square, four.