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Learn about the concept of circles, tangents, secants, and theorems with examples and videos. Find the proof of the tangent perpendicular to the radius theorem and the lengths of tangents from an external point theorem.
Apr 16, 2024 · 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,
Learn about tangents and secants of a circle with NCERT solutions, examples and videos of Chapter 10 Class 10 Circles. Find theorems, concepts and questions related to circles and their properties.
Apr 19, 2023 · Theorem 1: Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: XY is a tangent at point P to the circle with centre O. To prove: OP ⊥ XY. Construction: Take a point Q on XY other than P and join OQ.
Theorem 10.2 : The lengths of tangents drawn from an external point to a circle are equal. Proof : We are given a circle with centre O, a point P lying outside the circle and two tangents PQ, PR on the circle from P (see Fig. 10.7). We are required to prove that PQ = PR. For this, we join OP, OQ and OR. Then ∠ OQP and ∠ ORP are right angles ...
Theorem 10.1 : Equal chords of a circle subtend equal angles at the centre. Proof : You are given two equal chords AB and CD of a circle with centre O (see Fig.10.13).
In this Video I have Explained Theorem 10.1 Class 10 in Super Easy Way (Step by Step Explanation)Theorem 10.1 Class 10 - The tangent at any point of a circle...
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