MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
A point Q lies on a straight line m.
(i) Draw a straight line n passing through Q and forming a right angle with m. Give a logical explanation for the existence of such a line.
(ii) Prove that no other straight line distinct from n and passing through Q can be perpendicular to m.
(iii) Hence, show that exactly one perpendicular can be drawn to a given line at a point lying on it.