Answer the following questions based on Euclid’s first postulate.

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry

Problem

Answer the following questions based on Euclid’s first postulate. (i) How many distinct lines can be drawn through two distinct points

A

and

B

? Give reason. (ii) Three points

P, Q,

and

R

are non-collinear. Determine the total number of distinct lines that can be formed from these points. Show your working. (iii) Four points

W, X, Y,

and

Z

are collinear. How many distinct lines do these four points determine? Explain your answer clearly.