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.
(a) Prove that two distinct straight lines cannot have more than one point in common.
(b) If two lines have exactly one common point, what name is given to this pair of lines? Illustrate with one example in the Cartesian plane.
(c) If two lines appear to coincide at infinitely many points, what can you conclude about the two lines? Support your answer with one example from coordinate geometry.