What is the maximum number of points of intersection of 3 circles?

What is the maximum number of points of intersection of 3 circles?

Answer: The maximum number of points of intersection of 3 lines is 6 and for two circles is 56.

What is the maximum number of points of intersection when four different circles are drawn on a piece of paper?

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.

How many intersection points are possible with 3 distinct lines?

3 points
3. The maximum number of points of intersection when 3 lines are drawn in a plane, as shown, is 3 points.

What is the maximum number of points of intersection of three lines in a plane What is the minimum number?

Minimum number of point of intersection of three lines on a plene is zero when all the three lines are parallel to each other. Maximum number of point of intersection of three lines on a plene is three.

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 number of points of intersection when two circles?

Two circles can intersect in at most two points (excluding the case where two circles coincide with each other). So by looking at all possible pairs of circles, the maximum number of intersection points is given by 2(82)=56.

How do you find the maximum number of intersection points?

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.

What is the maximum number of intersection points for n distinct lines?

What is the maximum number of points of intersection between a circle and a square?

8
The maximum number of points of intersection of a square and a circle is 8.

What is the maximum number of intersection points in 2 distinct circles?

As we can see in above diagram, for each pair of circles, there can be maximum two intersectuib points.

How many points of intersection are in 5 circles?

Their reason being that 2 circles intersect in atmost two different points and therefore the points of intersection of 5 circles is 5C2 x 2 = 20.

How many points of intersection of 3 circles and 4 lines?

You can select any two circles in ways and each pair will intersect at 2 points. Therefore total 3*2=6 points. Similarly, 4 lines will intersect at points. Now each line will intersect at 2 points with a circle. And since we can select a circle in ways and a line in ways, therefore total points they will intersect.

What’s the maximum number of points a line can intersect?

For n=1: you need two lines to intersect, so the maximum number of intersections is 0. n=2: Two distinct lines will always intersect in at most one point irrespective of dimensions. n=3 : The new line can only intersect with the two old lines and a given pair of two lines can intersect at most once.

How to maximize the number of intersection points?

To maximize the number of intersections, each new line must meet each of the previously drawn lines in a point. So, the 2nd line drawn forms one intersection point with the first, and the 3rd must meet both lines that have already been drawn forming two more intersections.

How many times can two distinct lines intersect?

A pair of distinct lines (in plane geometry) can intersect at most one time. There are [math]\\binom 42=6[/math] (read four choose two equals six) ways to pick two of the four lines to intersect. So there can be at most 6 points of intersection.