Consider a straight line and a point that does not lie on .

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Consider a straight line

k

and a point

P

that does not lie on

k

. (i) Show that at least one straight line can be drawn through

P

that is perpendicular to

k

. (ii) Prove that no two distinct straight lines through

P

can both be perpendicular to

k

. (iii) Combine the above results to conclude that exactly one perpendicular can be drawn from an external point to a given line.