Theorem 10.1 - Chapter 10 Class 10 Circles

Last updated at August 8, 2026 by

Theorem 10.1 - The tangent at any point of circle is perpendicularto the radius through the point of conta.jpg

Theorem 10.1 - Chapter 10 Class 10 Circles - Part 2

 

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Remove Ads

Transcript

Theorem 10.1 The tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: A circle with center O. With tangent XY at point of contact P. To prove: OP ⊥ XY Proof: Let Q be point on XY Connect OQ Suppose it touches the circle at R Hence, OQ >𝑂𝑅 OQ >𝑂𝑃 Same will be the case with all other points on circle Hence, OP is the smallest line that connects XY Hence, OP is the smallest line that connects XY And smallest line is perpendicular ∴ OP⊥ XY

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.