Question

prove that there is one and only one tangent at any point on the circumference of a circle.

Answer 1

Let P be any Point On The Circle
OP Is The Radius Of The Circle
Line AB Is Perpendicular To P
Then OA > OP [Bcoz The Perpendicular Is The Shortest Distance From A Point Of The Circle]
Therefore Every Point Except P Is Outside The Circle O And The AB Is Tangent To The Circle
Therefore There Can Be Only One Tangent At a Point On The Circumference Of The Circle

Answer 2

$\textbf{Answer is in Attachment !}$