CBSE Class 10 Maths Chapter 4 – Quadratic Equations (2026–27)
Master Chapter 4 – Quadratic Equations 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 how to solve quadratic equations using different methods and apply them to real-life situations for strong board exam preparation.
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Chapter Summary
Quadratic Equations introduces students to equations of the form ax² + bx + c = 0, where a ≠ 0. In this chapter, students learn how to identify quadratic equations, solve them by factorisation and the quadratic formula, and determine the nature of their roots using the discriminant. The chapter also includes real-life application problems that help students develop logical reasoning and problem-solving skills.
Understanding quadratic equations is essential because they form the foundation for many advanced topics in mathematics. Regular practice of NCERT exercises, solved examples, MCQs, and previous year questions will help students improve accuracy and perform well in the CBSE board examination.
Learning Outcomes
After completing this chapter, students will be able to:
- ✅ Identify quadratic equations.
- ✅ Solve quadratic equations by factorisation.
- ✅ Solve quadratic equations using the quadratic formula.
- ✅ Calculate and interpret the discriminant.
- ✅ Determine the nature of the roots.
- ✅ Solve real-life word problems involving quadratic equations.
- ✅ Improve algebraic and analytical thinking.
- ✅ Prepare confidently for CBSE board examinations.
Key Topics
- 📘 Introduction to Quadratic Equations
- ✏️ Standard Form of a Quadratic Equation
- 🔢 Solving by Factorisation
- 📐 Solving Using the Quadratic Formula
- 📊 Discriminant and Nature of Roots
- 🌍 Applications of Quadratic Equations
- 🎯 Board Exam Practice Questions
⭐ Study Resources
📝 Exercise Solutions
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📄 Study Notes
Comprehensive notes with explanations, solved examples, and important concepts.
🧠 Mind Map
Visual chapter summary for quick revision of important concepts and formulas.
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Formula Sheet
Access all important formulas, revision points, and key facts for quick exam preparation.
📘 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 Solutions
Exercise 4.1 – Solving by Factorisation
Exercise 4.1 introduces quadratic equations and teaches students to solve them using the factorisation method. Students learn to express quadratic equations in standard form, factorise them correctly, and find the roots accurately.
Exercise 4.2 – Quadratic Formula
Exercise 4.2 focuses on solving quadratic equations using the quadratic formula. Students learn how to substitute values into the formula, calculate the discriminant, and determine the roots efficiently
Exercise 4.3 – Applications of Quadratic Equations
Exercise 4.3 contains real-life application problems based on quadratic equations. Students develop the ability to translate practical situations into mathematical equations and solve them using appropriate methods.
Free PDF Downloads
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❓ Frequently Asked Questions
1. What is a quadratic equation?
A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.
2. How many exercises are there in Chapter 4?
According to the latest CBSE Class 10 Mathematics (2026–27) textbook, Chapter 4 contains three exercises: Exercise 4.1, Exercise 4.2, and Exercise 4.3.
3. What methods are used to solve quadratic equations?
Students learn to solve quadratic equations using:
- Factorisation Method
- Quadratic Formula
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 4 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.
10. Why is Chapter 4 important for the CBSE board examination?
Chapter 4 is one of the most important algebra chapters in Class 10 Mathematics. Questions on solving quadratic equations, using the quadratic formula, finding the discriminant, and solving application-based problems are frequently asked in the CBSE board examination, making this chapter essential for scoring high marks.
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 quadratic formula?
The quadratic formula is:
x = (-b ± √(b² − 4ac)) / 2a
It is used to find the roots of any quadratic equation in standard form.
12. What is the discriminant?
The discriminant is the value b² − 4ac. It helps determine the nature of the roots:
- Positive → Two distinct real roots
- Zero → Two equal real roots
- Negative → No real roots
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