Home
Class 12
MATHS
If 7 points out of 12 are in the same st...

If 7 points out of 12 are in the same straight line, then the number of triangles formed is :

A

19

B

185

C

201

D

220

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Given p points in a plane, no three of which are collinear q of these Points, which are in the same straight line. Determine the number of (I) straight lines

There are 15 points in a plane, no three of which are collinear. Find the number of triangles formed by joining them.

There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

Statement 1: The incenter of a triangle formed by the lines xcos(pi/9)+ysin(pi/9)=pi,xcos((8pi)/9)+ysin((8pi)/9)=pi and xcos((13pi)/9)+ysin((13pi)/9)=pi is (0,0) Statement 2: Any point equidistant from the given three non-concurrent straight lines in the plane is the incenter of the triangle formed by these lines.

From the adjoining fig answer the following: (a) What is the number of parallel lines (b) Number of pairs of intersecting lines (c) Three sets of collinear points (d) Three sets of points of intersection of two lines (e) Number of triangles formed

Out of 18 points in a plane, no three are in the same straight line except 5 point which are collinear. Find the number of lines that can be formed by joining them?

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?

The straight lines I_(1),I_(2),I_(3) are parallel and lie in the same plane. A total number of m point are taken on I_(1),n points on I_(2) , k points on I_(3) . The maximum number of triangles formed with vertices at these points are

In a plane there are 37 straight lines, of which 13 passes through the point A and 11 passes through point B. Besides, no three lines passes through one point no line passes through both points A and B and no two are parallel, then find the number of points of intersection of the straight line.

There are n straight lines in a plane in which no two are parallel and no three pass through the same point. Their points of intersection are joined. Show that the number of fresh lines thus introduced is 1/8n(n-1)(n-2)(n-3)