How many intersections can 6 lines have?

How many intersections can 6 lines have?

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 regions that can be formed if 6 lines are drawn to cut a circle?

SOLUTION: Using six lines, we can cut the circle into 22 pieces at maximum.

What is the greatest number of crossings you can get by drawing 6 straight lines?

The maximum number of regions that we can obtain from crossing chords with 6 points is 31. Students quickly realize that if 3 or more chords cross at the same point in the interior of a circle, then they don’t obtain the maximum possible number of regions.

What is the maximum number of closed regions that can be formed by drawing four lines inside a circle?

The answer is 22. I’m assuming you mean straight lines. If there are no lines crossing a circle, the number of regions is of course 1.

How do you find the maximum number of intersections?

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 regions possible?

The maximum number Ln of regions in the plane that can be defined by n straight lines in the plane is: Ln=n(n+1)2+1. This sequence is A000124 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

What is the maximum number of lines you can set for lines to Dropbox?

Solution(By Examveda Team) For a drop cap maximum number of lines 10 and minimum number of line 1 can be set. By default it is 3.

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

The maximum number of points of intersection of four lines in a plane is six. The minimum number of points of intersection of four lines in a plane is zero.

What is the maximum number of points of intersection in 4 different lines?

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 no of points of intersection of 5 non overlapping circles?

hence on solving we get 20 as our correct answer.

What is the maximum number of intersections by n circles?

So by this we can conclude that by looking at all possible pairs of circles the mathematical formula can be made for the maximum number of intersection by n circles is given by 2 * nC2 . Attention reader! Don’t stop learning now.

What is the maximum number of characters in a cell?

255 characters. Row height. 409 points. Page breaks. 1,026 horizontal and vertical. Total number of characters that a cell can contain. 32,767 characters. Characters in a header or footer. 255. Maximum number of line feeds per cell. 253. Sheets in a workbook. Limited by available memory (default is 1 sheet) Colors in a workbook

What is the maximum number of regions on a plane?

Maximum number of regions on a plane formed due to non-parallel lines Approach: The above image shows the maximum number of regions a line can divide a plane. One line can divide a plane into two regions, two non-parallel lines can divide a plane into 4 regions and three non-parallel lines can divide into 7 regions, and so on.

How many regions can a line cross over a line?

Leaving that point on one side of the third line means that the line won’t be able to cross all four already existent regions, but at most only three – one more than there are lines. This gives a clue to a general case.