CBSE Class 10 Maths Chapter 10 – Circles (2026–27)
Master Chapter 10 – Circles with comprehensive study notes, NCERT solutions, exercise-wise solutions, MCQs, important questions, PDF downloads, and video lessons based on the latest CBSE Class 10 Mathematics (2026–27) syllabus. Learn about tangents to a circle, their properties, and applications through simple explanations, solved examples, and step-by-step NCERT solutions.
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Chapter Summary
Circles introduces students to the properties of tangents drawn to a circle. This chapter explains how a tangent is perpendicular to the radius at the point of contact and explores the relationship between tangents drawn from an external point. These concepts help students develop logical reasoning and strengthen their understanding of geometry.
By practicing NCERT exercises, solved examples, MCQs, and important questions, students can confidently solve geometry problems and prepare effectively for the CBSE board examination.
Through NCERT exercises, solved examples, MCQs, and important questions, students develop analytical thinking and practical problem-solving skills that are valuable for both board examinations and competitive exams.
Learning Outcomes
After completing this chapter, students will be able to:
- ✅ Understand the concept of a tangent to a circle.
- ✅ Identify the point of contact.
- ✅ Apply the properties of tangents.
- ✅ Prove theorems related to tangents.
- ✅ Solve geometry problems involving circles.
- ✅ Improve logical reasoning and proof-writing skills.
- ✅ Solve NCERT and board-level questions confidently.
- ✅ Prepare effectively for the CBSE board examination.
Key Topics
- ⭕ Tangent to a Circle
- 📍 Point of Contact
- 📐 Radius and Tangent
- 📏 Properties of Tangents
- 🔄 Tangents from an External Point
- 📘 Theorems on Tangents
⭐ Study Resources
📝 Exercise Solutions
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📄 Study Notes
Comprehensive notes with explanations, solved examples, and important concepts.
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📘 NCERT Solutions
Step-by-step solutions for every NCERT textbook exercise with clear explanations.
📘 Exemplar Solutions
Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.
📑 Important Questions
Most expected board exam questions with detailed solutions and explanations.
❓ MCQs
Chapter-wise multiple-choice questions for concept reinforcement and quick revision.
🎥 Video Lessons
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📑 Competency Based Questions
Assertion & Reason and Case Study questions based on the latest CBSE pattern..
📄 PDF Notes
Additional practice questions to improve problem-solving skills and self-assessment.
📝Exercise-wise Solutions
📘 Exercise 10.1 – Tangent to a Circle
Exercise 10.1 introduces the concept of tangents to a circle and explains the relationship between the radius and the tangent at the point of contact. Students solve NCERT questions with detailed step-by-step explanations.
📘 Exercise 10.2 – Properties of Tangents
Exercise 10.2 focuses on the properties of tangents drawn from an external point to a circle. Students learn important theorems, solve proof-based questions, and practice geometry problems using NCERT solutions.
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❓ Frequently Asked Questions
1. What is a tangent to a circle?
A tangent is a straight line that touches a circle at exactly one point, known as the point of contact.
2. How many exercises are there in Chapter 10?
Chapter 10 contains 2 exercises:
- 📘 Exercise 10.1 – Tangent to a Circle
- 📘 Exercise 10.2 – Properties of Tangents
3. What is the point of contact?
The point of contact is the point where the tangent touches the circle.
4. Are these notes based on the latest CBSE syllabus?
Yes. All study notes, solutions, and learning resources are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus.
5. Are NCERT exercise solutions available?
Yes. Step-by-step solutions for Exercise 2.1 and Exercise 2.2 are available with detailed explanations.
6. Can I download the Chapter 9 notes as a PDF?
Yes. Free PDF notes and other downloadable study resources are available on this page.
7. Are MCQs and important questions included?
Yes. This chapter includes chapter-wise MCQs, important questions, and additional practice material for exam preparation.
8.Why is Chapter 10 important for the CBSE board examination?
Chapter 10 is an important geometry chapter that develops logical reasoning and proof-writing skills. Questions based on tangents, tangent properties, and theorem applications are frequently asked in the CBSE board examination.
9. Are video lessons available for this chapter?
Yes. Video lessons are provided to help students understand each concept with clear explanations and solved examples.
10. Who can use these study resources?
These resources are suitable for CBSE Class 10 students, teachers, and parents looking for reliable notes, NCERT solutions, MCQs, PDFs, and revision material.
11. What is the relationship between the radius and the tangent?
The radius drawn to the point of contact is always perpendicular to the tangent.
12..What are the properties of tangents from an external point?
The two tangents drawn from the same external point to a circle are equal in length.
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🚀Continue Learning
Keep building your mathematics skills by exploring the next chapter in the CBSE Class 10 Mathematics syllabus.
📖 Chapter 9 – Some Applications of Trigonometry
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📖 Chapter 11 – Areas Related to Circles
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