Welcome to the NCERT Solutions for Class 10 Maths Chapter 10: Circles! This chapter covers essential topics such as the properties of circles, tangents, and their applications. The exercises in this chapter will help you understand key concepts like how tangents are drawn to a circle, the number of tangents from a point on a circle, and their properties.
In this post, you will find solutions to all the exercises in Chapter 10 of the NCERT Class 10 Maths textbook. The solutions are easy to understand and will help you build a strong foundation in geometry. By solving these exercises, you will be well-prepared for your exams.
NCERT Solutions for Class 10 Maths Chapter 10 – Circles
| Section Name | Topic Name |
|---|---|
| 10.1 | Introduction to Circles |
| 10.2 | Tangents to a Circle |
| 10.3 | Number of Tangents from a Point on a Circle |
| 10.4 | Summary of Concepts |
Important Concepts to Remember
- Tangent to a Circle: A tangent is a straight line that touches the circle at only one point. The line is perpendicular to the radius at the point of contact.
- Length of the Tangent: The length of the tangent drawn from an external point can be calculated using the formula:Length of Tangent=d2−r2\text{Length of Tangent} = \sqrt{d^2 – r^2}Length of Tangent=d2−r2where d is the distance from the external point to the center of the circle, and r is the radius of the circle.
- Number of Tangents:
- From an external point: Two tangents.
- From a point on the circle: One tangent.
- From an internal point: No tangents.
- Point of Contact: The point at which the tangent touches the circle is called the point of contact. At this point, the tangent is perpendicular to the radius.
Download NCERT Solutions PDF
You can easily download the complete solutions for Class 10 Maths Chapter 10 – Circles from the link below. The PDF contains all the solved exercises, step-by-step explanations, and important formulas. It will help you prepare thoroughly for your exams.
ch10-1NCERT Solutions for Class 10 Maths
CBSE NCERT Solutions for Class 10 Maths in PDF form to free download or use online for Gujarat Board, UP Board, MP Board, CBSE, KSEEB, Kerala and other board following NCERT books.
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 5 Arithmetic Progressions
- Chapter 6 Triangles
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 9 Some Applications of Trigonometry
- Chapter 10 Circles
- Chapter 11 Constructions
- Chapter 12 Areas Related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
Conclusion
Chapter 10 on Circles is an important part of your Class 10 Maths syllabus. It covers fundamental concepts that are widely used in geometry. Understanding tangents and the number of tangents from different points will help you not only in exams but also in understanding the properties of circles better.
By solving all exercises in this chapter, you will be able to master the topic of circles and tangents. Remember, practice is key! The more you practice, the better you will understand the concepts.