How many points of intersection are possible for 6 lines?

So, when 6 lines are drawn in a plane, the number of points of intersection to be 10 + 5 = 15.

What is the maximum number of points of intersection?

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. Thus, required number of intersections = 6 + 12 + 32 = 50.

What is the maximum number of times that six circles of the same size could intersect?

So for n lines, it is 1 x nC2, which simplifies to (n²−n)/2 . Two circles can intersect one another at two maximum; contrary to two straight lines – which can intersect one another at one point maximum. So, six circles can have maximum {2 * (6C2)} = (2 * 15) = 30 points of intersection.

What is the greatest number of intersection points for coplanar lines can have?

Two coplanar intersecting lines will always intersect at one point.

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.

What are the maximum number of points of intersection when three lines intersect?

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 greatest number of pieces that can be formed by 6 straight cuts?

22 pieces
What is the maximum number of pieces that one can cut the circle using these six straight lines? SOLUTION: Using six lines, we can cut the circle into 22 pieces at maximum.

What is the greatest number of possible points of intersection of a circle and a triangle?

Circle can intersect triangle at one of the vertex and cut three sides (one side twice and other two once) two sides – 5 points of intersection; Circle can cut all three sides twice – 6 points of intersection. Hence circle can intersect triangle at 1, 2, 3, 4, 5 or 6 points.

How many regions are produced by connecting 6 points on the circle each to each?

The powers of 2 pattern breaks down when we choose 6 points on a circle. The maximum number of regions that we can obtain from crossing chords with 6 points is 31.