Rahul Sofat Solutions for Chapter: Basic Geometric Concepts, Exercise 1: EXERCISE 4.1

The interior of a triangle includes its vertices. 

A triangular region includes its vertices. 

Take any points $A, B, C, D and E$ in such a way that no three points are collinear.

Join them in pairs and answer the following:

How many lines can be drawn joining two points at a time?

Take any points $A, B, C, D and E$ in such a way that no three points are collinear.

Join them in pairs and answer the following:

How many of the points pass through $A$ if the lines can be drawn joining two points at a time? 

Take any points $A, B, C, D and E$ in such a way that no three points are collinear.

Join them in pairs and answer the following:

How many of the points pass through $D$ if the lines can be drawn joining two points at a time? 

Take any points $A, B, C, D and E$ in such a way that no three points are collinear.

Join them in pairs and answer the following:

Name all the points that can be drawn by joining two points at a time.

With the help of figures, determine the minimum number of points of intersection of three distinct non-parallel lines in a plane. What is the maximum number?

Lines $l, m and n$ are concurrent. Also lines $k, l and m$ are concurrent. With the help of a figure determine what can be said about the lines $k, l, m and n$.