Question

Prove that only one tangent can be drawn to any point located on the circle.

plz guys don't answer wrong ..​

Answer 1

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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

Answer:

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