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Thus, the two important theorems in Class 10 Maths Chapter 10 Circles are: Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact. Theorem 10.2: The lengths of tangents drawn from an external point to a circle are equal.
Get NCERT Solutions of all exercise questions, examples and videos of Chapter 10 Class 10 Circles free at Teachoo. Answers to each and every question is given, with video solution of all the questions for your understanding.
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.
In the notes of Circle Class 10, all the theorems related to tangents. These are followed by solutions to exercises. The chapter consisted of two exercises, covering all the questions related to circles and their concepts.
Jun 18, 2023 · Position of Point in a Circle. There could be three possibilities, according to which the number of tangents passing is defined. Point Inside the Circle: If we look at the image below, then, we will observe that the number of tangents, passing, is 0, and an infinite number of secants can be passed through that point.
Download PDF. NCERT Solutions for Class 10 Maths Chapter 10 Circles. Chapter 10 helps students understand the concepts related to Circles and their properties. This chapter is an important section of geometry and questions related to it are asked not just in board exams but also competitive exams.
These NCERT Solutions for Class 10 Maths Chapter 10 have some tricky concept questions on circles that will help students to clear all their doubts when they study. Students are recommended to study these solutions to know alternative calculation methods.
Sep 2, 2024 · Chapter 10 of the Class 10 NCERT Mathematics textbook, “Circles,” focuses on the properties and theorems related to circles. It covers topics such as the definition of a circle, chords, tangents, and the relationships between different parts of a circle.
Theorem: The lengths of tangents drawn from an external point to a circle are equal. We can prove this theorem by using the Pythagoras Theorem. There are two exercises in this chapter, each of which is important for your exam preparation. Let us see what is included in these exercises and how to solve them.
Oct 15, 2020 · Answer. The line drawn from the centre of the circle to the tangent is perpendicular to the tangent. ∴ OP ⊥ PQ. By Pythagoras theorem in ΔOPQ, OQ 2 = OP 2 + PQ 2. ⇒ (12) 2 = 5 2 + PQ 2. ⇒PQ 2 = 144 - 25. ⇒PQ 2 = 119.
