Home
Class 12
MATHS
There are 10 points on a plane of which ...

There are 10 points on a plane of which no three points are collinear. If lines are formed joining these points, find the maximum points of intersection of these lines.

Text Solution

Verified by Experts

Two points are required to form a line. Then, the number of lines is equal to the number of ways two points are selected i.e., `.^(10)C_(2)=45`.
Now, two lines intersect at one point. Hence, the number of points of intersection of lines is `.^(45)C_(2)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

There are n points in a plane of which m points are collinear. How many lines can be formed from these points ?

Find the maximum number of points of intersection of 6 circles.

There are 10 points in a plane of which 4 are collinear, Find the number of lines obtained from the pairs of these points.

There are 10 points in a plane of which 4 are collinear, find the number of triangles that can be formed from these points.

The maximum number of points of intersection of 8 straight lines is

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is (A) 116 (B) 120 (C) 117 (D) none of these

There are n points in a plane , of which no three are collinear expept m which are collinear. Find the number of triangles formed by joining the points.

In a plane there are 10 points out of which no three are collinear except the four which lie on a straight line . By joining these 10 points how many triangles may be obtained.

There are 10 points in space of which 5 points are in the same plane, but no four of the remaining 5 points are in the same plane. The number of planes each containing three points is-

In a plane there are 10 points out of which no three are collinear except the four which lie on a straight line . By joining these 10 points how many straight lines.