NCERT Exemplar for Class 10 Maths Chapter 8, Chapter 9 – Circles
NCERT Exemplar Solutions for Class 10 Maths Chapter 9 Circles focus on tangents, their properties, and important theorems that form the basis of geometry. This chapter is essential as it extends students’ prior knowledge of circles and prepares them to solve both theoretical and application-based problems in board exams.
The solutions begin with a quick revision of the basic properties of circles and then introduce the concept of a tangent to a circle. Students learn how a tangent touches a circle at exactly one point and how to apply this property in problem-solving. Through exemplar problems, learners also understand the concept of the number of tangents that can be drawn from a given external point to a circle. The most important part of this chapter is the theorem stating that the tangent to a circle is perpendicular to the radius at the point of contact. The NCERT Exemplar Solutions provide step-by-step proofs and applications of this theorem, making it easier for students to apply it to numerical and reasoning-based questions. Another highlight is the problem set that focuses on the lengths of tangents drawn from an external point to a circle. The solutions explain how both tangents from the same external point are equal in length, a concept widely used in geometry-related questions. By practicing these solutions, students build confidence in solving higher-order thinking problems and improve their accuracy in geometrical reasoning. The questions are closely aligned with the CBSE exam pattern, ensuring learners are well-prepared for board examinations. Overall, NCERT Exemplar Solutions for Class 10 Maths Circles provide a perfect blend of conceptual clarity and practical application, enabling students to master tangent properties and circle-related theorems with ease.