How many lines can we draw through a set of two given points?

How many lines can we draw through a set of two given points?

one line
(b) Only one line can pass through two given points.

How many lines can be drawn between the five points in a plane?

Attempt: Given 5 points, a line consist always of 2 points. Thus the total number of straight lines that can be drawn between 5 points is 5_C_2 = 10.

How many lines can you draw?

Solution : (i) Infinite line can be drawn through a given point. (ii) Only one line can be drawn through two given point.

How many lines can be drawn?

How many lines can you draw through B and C?

How many lines can you draw using 3 non-collinear not in a single line points a B and C on a plane? The lines are: AB, BC and AC ; 3 lines only. So in fact we can draw 3 lines and not 6 and that’s because in this problem the order of the points A, B and C is not important.

How many lines can contain three points?

Three collinear points would indicate a single line.

How many lines can be drawn through three noncollinear points by joining them?

Four lines can be drawn through 3 non-collinear points.

How many lines can be drawn through two points A and B?

So, geometrically only 1 straight line can pass through 2 distinct points. But if we are considering 2 points where an infinite line can pass through them each. Let us consider the 2 points as A and B. Now, infinite lines can pass through the point A.

How many lines can pass through 3 points?

(iii) Only one line can be drawn through three collinear points.

How many straight lines can be drawn between five points?

How many straight lines can be drawn between five points (A, B, C, D, and E), no three of which are colinear? Attempt: Given 5 points, a line consist always of 2 points. Thus the total number of straight lines that can be drawn between 5 points is 5_C_2 = 10. Is this correct? Thank you.

How many lines can pass through two distinct points?

Take the surface of earth, ALL longitudinal lines pass through the 2 poles: In a Euclidean space, only 1 (straight) line passes through 2 points. To draw a straight line from any point to any point.

How many segments are there between two points?

Number of segments 2 points 1 segment = 2 × 1 / 2 3 points 3 segments = 3 × 2 / 2 4 points 6 segments = 4 × 3 / 2 5 points 10 segments = 5 × 4 / 2 n points n × ( n -1 ) / 2 segments