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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 between two different size circles that lie in the same plane?
69
What is the greatest number of intersection points in four coplanar lines can have?
The greatest number of intersection points that four coplanar lines can have occurs when no two lines are parallel and no three lines intersect at the same point. In this case, the maximum number of intersection points can be calculated using the formula ( \frac{n(n-1)}{2} ), where ( n ) is the number of lines. For four lines, this results in ( \frac{4(4-1)}{2} = 6 ) intersection points.
What is the smallest number of points of intersection of five lines drawn in a plane?
The smallest number of points of intersection of five lines drawn in a plane occurs when all the lines are parallel. In this case, the lines do not intersect at all, resulting in zero points of intersection. Thus, the smallest number of points of intersection is 0.
What is the maximum number of points of intersection of 4 distinct lines?
Six (6)
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 between two different size circles that lie in the same plane?
69
What is the maximum number of points of intersection when three distinct circles and four distinct lines?
discuss the possible number of points of interscetion of two distinct circle
What is the maximum number of distinct intersections of 30 different coplanar circles?
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.
What is the maximum number of times 2 planes can intersect?
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.
What is the maximum possible number of points of intersection between an equilateral triangle and a circle in the same plane?
6 maximum points of intersection
How many points of intersection do two skew lines have?
Any two lines can only have one point of intersection. Unless they are parallel, in which case they do not intersect at all. If they are the same line, then they intersect at an infinite number of points.
What is the maximum number of points of intersection of 4 distinct lines?
Six (6)
Could the intersection of 3 planes be a line?
The intersection of 2 non-parallel planes is always a line.The intersection of 3 planes doesn't have to be a line, but it can be. If it is,then there are an infinite number of other planes that can also intersect thosethree along the same line.
What are the maximum number of points of intersection for a circle and a pentagon in the same plane?
10.
What is the maximum number of regions that can b formed by five congruent circles?
21
What is the possible maximum and minimum point of intersection for a paticular number of line?
With n lines, the maximum number is n*(n-1)/2. The minimum is 0.
