Home
Class 11
MATHS
There are n points in a plane of which p...

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

A

`(n-p_C_2`

B

`nC_2-pC_2-1`

C

`nC_2-pC_2+1`

D

`nC_2-pC_2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

There are 2n points in a plane in which m are collinear. Number of quadrilaterals formed by joining these lines:

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

There are 10 points in a plane , out of these 6 are collinear. If N is the number of triangles formed by joining these points , then :

There are 12 points in a plane in which 6 are collinear. Number of different straight lines that can be drawn by joining them, is

There are 10 points in a plane out of these points no three are in the same straight line except 4 points which are collinear. How many (i) straight lines (ii) trian-gles (iii) quadrilateral, by joining them?

There are n straight lines in a plane, no two of which are parallel, and no three pass through the same point . Their points of intersection are joined . Then the number of fresh lines thus obtained is :

4 points out of 8 points in a plane are collinear. Number of different quadrilateral that can be formed by joining them is

There are five points A,B,C,D and E. no three points are collinear and no four are concyclic. If the line AB intersects of the circles drawn through the five points. The number of points of intersection on the line apart from A and B is

There are 16 points in a plane no three of which are in a st , line except except 8 which are all in a st . Line The number of triangles that can be formed by joining them equals :

There are n( gt2) points in each of two parallel lines Every point on one line is joined to every point on the other line by a line segment drawn within the lines . The number of points (between the lines) in which these segments intersect is :