answersLogoWhite

0

Through any two distinct points, exactly one line can be drawn. For 5 non-collinear points, each pair of points can form a line. The number of ways to choose 2 points from 5 is given by the combination formula ( \binom{5}{2} ), which equals 10. Therefore, 10 lines can be drawn through 5 non-collinear points.

User Avatar

AnswerBot

3mo ago

What else can I help you with?

Related Questions

How many lines can be drawn out of 14 points on a plane with no 3 or more points collinear?

There are 91 lines.


How many different lines can be drawn using 6 points if no 3 of which are collinear?

15 lines.


For 3 non collinear points how many straight lines can be drawn?

3 lines and one plane


How many lines can be drawn to a given points?

Through any two distinct points, exactly one straight line can be drawn. If you have more than two points, the number of lines that can be drawn depends on how many of those points are distinct and not collinear. For ( n ) distinct points, the maximum number of lines that can be formed is given by the combination formula ( \binom{n}{2} ), which represents the number of ways to choose 2 points from ( n ). If some points are collinear, the number of unique lines will be less.


Can nine straight lines can be drawn from nine collinear points?

Yes. You can draw infinitely many straight lines from each point.


How many straight lines can be drawn using 8 non collinear points?

From 8 non-collinear points, the number of straight lines that can be drawn is determined by choosing any two points to form a line. This can be calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of points and ( r ) is the number of points to choose. For 8 points, the calculation is ( \binom{8}{2} = \frac{8 \times 7}{2 \times 1} = 28 ). Therefore, 28 straight lines can be drawn using 8 non-collinear points.


Are complanar points collinear?

Not sure about complanar. Coplanar lines can be collinear but need not be.


How many lines can you draw through three given points taking two at a time if the points are collinear?

One.


How many lines can be drawn through eight points?

Only one line can be drawn through eight points.


How many different lines can be drawn if each line contains at least two of these points a b c d e?

10 lines, but only if no three of them are collinear.


How many straight lines can be formed with 3 collinear points?

only 1 lines can contain 3 collinear points. Maybe you mean coplanar?


How many straight lines can be formed by connecting any 2 of the 6 non-collinear points?

15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.