A student draws two different straight lines and on his notebook

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry

Problem

A student draws two different straight lines

p

and

q

on his notebook. He marks that they both pass through point

P

as well as point

Q

, where

P\neq Q

. (a) Using logical reasoning, prove that it is impossible for

p

and

q

to be distinct lines under the given condition. (b) If the student now asserts that

p

and

q

are in fact the same line, explain why this new assertion is always true, irrespective of the actual positions of

P

and

Q