# How many lines do points AB and C determine?

Table of Contents

## How many lines do points AB and C determine?

If points C and B are collinear, then a line can be drawn through the two points. Postulate 2.1 states that through any two points, there is exactly one line. ANSWER: Postulate 2.1; through any two points, there is exactly one line. 37.

## How many lines are determined by 13 points no 3 of which are collinear?

Since they are collinear we get only one line out of these 5 points instead of 10. So, the total number of straight lines that can be drawn through 13 points on a plane with 5 of the points being collinear is 78 – 10 + 1 = 69.

## How many lines are determined by 8 points No 3 of which are collinear?

Since no three points are collinear , every pair of points determines a distinct line . There are (82)=28 such lines.

## How many lines do 12 points determine given that 3 of which are collinear?

Required number of straight lines =(. 12C2-. 3C2+1)=64.

## How many straight lines can be obtained by joining 12 points?

Given 12 points,5 of which are collinear. In this case the number of straight lines that can be formed using the 5 collinear points is only 1. C2 – 5C2 +1 . = 66 – 10 +1 = 57.

## How many straight lines can be drawn from collinear points?

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

## How many straight lines can form from 10 points?

From 10 points, the number of ways to choose 2 to form a line = 10C2 = (10*9)/(2*1) = 45.

## How many lines can be drawn passing through 10 collinear points?

Step-by-step explanation: The number of ways to select any points (out of 10 distinct points) will be 10C2. Once we select the points, there is only 1 straight line which will be formed using these points. Therefore the number of lines will be 10C2 x 1 or 45.

## How many lines can be drawn using 3 non collinear points a B and C on a plane?

Let we have three non-collinear points A , B and C. To draw any line we need only two points. So total numbers of possible lines are 3. Hence from three noncollinear points we can draw three lines.

## How many lines can be drawn passing through five collinear points?

10

## How many lines can be drawn passing through?

(a) An infinite number of lines can pass through one given point.

## How many distinct lines can be drawn through 7 points if no 3 points are collinear?

If they are collinear, then there can be only one line joining them. If they are non collinear, then there can be three lines joining them. For example, if we have three distinct non collinear points P, Q and R. Then we can draw three lines l, m and n joining them.

## What is the maximum number of lines determined by four points?

So, max number of lines =4C2=24×3=6. Was this answer helpful?

## How many least number of distinct point determine a unique line?

two numbers

## How many points are needed to determine a unique line?

two points

## How many lines can be drawn by joining three distinct points in a plane?

Given three distinct points A, B and C in a plane, they can either be collinear or non collinear. If they are collinear, then there can be only one line joining them.

## How many different rays can be formed from 8 distinct points on a plane no three of which lie on the same line?

Answer Expert Verified Therefore, 56 rays are formed.

## How many planes can be made to pass through a line and a point not on the line?

Answer: Only one plane can pass through three noncollinear points. If a line intersects a plane that doesn’t contain the line, then the intersection is exactly one point.

## What shape can contain three points not on the same line?

In a three-dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line.