MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
Let P, Q and R be three distinct points with Q=R.
(i) Line l is drawn through P and Q. Line m is drawn through P and R. Suppose another line n is also drawn through P and Q. Prove that line n coincides with line l.
(ii) From the result in part (i), state in a single sentence what can be concluded about the number of different straight lines that can pass through two fixed distinct points.