Table of Contents
How many maximum points of intersection are possible from 8 lines and 4 circles?
The greatest possible number of points of intersection of 8 straight lines and 4 circles is 104 .
What is the maximum number of points of intersection of 4 circles?
32 points
Explanation: 4 lines intersect each other at 6 points and 4 circles intersect each other at maximum of 12 points. Each line intersects 4 circles at 8 points. Hence, 4 lines intersect four circles at a maximum of 32 points.
What is the maximum number of points of intersection of 8 circles?
The maximum number of points of intersection of 8 circles of unequal radii is 56 .
How do you find the maximum intersection?
As there is only one line, you can get at most one intersection. So the maximum number of intersections of two lines is 1. n=3: The same argument as before. The new line can only intersect with the two old lines and a given pair of two lines can intersect at most once.
How many maximum points does a straight line intersect a circle?
Line and Circle Intersections : a line and and circle can intersect each other at most 2 points.
What is the maximum number of points of intersection of 100 distinct straight lines?
101!/(99!* 2!) = 101*100/1*2 = 101*50 =5050.
What is the maximum number of points of intersection of 6 circles?
30
Therefore, the total number of points of intersection is . 6C2×2=30.
What is the maximum number of points of intersection between a rectangle and a circle?
I’ll try to add a graph to help demonstrate that the maximal number of points of intersection between a circle and a rectangle such that the length of the rectangle is greater than the circle’s diameter and its width is less than the diameter would be 6 such points of intersection: two points of intersection along each …
How many points of intersection can five straight lines?
10 points
5. The maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.
What is the maximum number of points that 2 circles and 3 straight lines can intersect?
For example if there are 2 circles and 3 lines then the maximum number of intersections is 17.
What is the maximum points of intersection of 10 distinct lines?
If follows, then, that the maximum number of points of intersection when 10 lines are drawn in a plane would be the 8th term in the sequence, or 45 points.
What is the maximum number of points of intersection of 5 non overlapping circles A 10 B 15 C 20 D 25?
hence on solving we get 20 as our correct answer.