NCERT Class 10 Math Chapter 4: द्विघात समीकरण PDF Download

NCERT Class 10 Math Chapter 4 द्विघात समीकरण (Quadratic Equations) introduces students to one of the most important topics in algebra. A quadratic equation is a polynomial equation of degree two, generally written in the form ax² + bx + c = 0, where a, b, and c are real numbers, and a ≠ 0.

NCERT Class 10 Math Chapter 4 द्विघात समीकरण (Quadratic Equations) introduces students to one of the most important topics in algebra. A quadratic equation is a polynomial equation of degree two, generally written in the form ax² + bx + c = 0, where a, b, and c are real numbers, and a ≠ 0. This chapter focuses on how to form quadratic equations, solve them using different methods, and apply them in real-life problem situations such as areas, age-related questions, and finance-related problems.

I am writing about this chapter because quadratic equations are a crucial foundation for higher mathematics, especially in Class 11 and 12 where algebra becomes more advanced. Many students initially struggle with the concept because of the formulas involved, but once understood, it becomes a very scoring topic in exams. Quadratic equations are not just limited to academics; they are also used in real life such as calculating projectile motion in physics, analysing business profit or loss, and designing structures in engineering. For Class 10 board exams, this chapter carries significant marks, and mastering it can help students perform better in both school-level and competitive exams. That is why having the NCERT PDF is very useful for regular practice.

Key Topics in Chapter 4 द्विघात समीकरण

This chapter explains quadratic equations step by step. The main topics include:

Introduction to Quadratic Equations – Standard form ax² + bx + c = 0
Methods of Solving Quadratic Equations
- Factorisation Method
- Completing the Square Method
- Quadratic Formula Method
Nature of Roots – Relationship between discriminant (D = b² – 4ac) and types of solutions
Word Problems – Application-based questions in geometry, age, and daily life situations

Important Notes for Students

If D > 0 → Roots are real and distinct
If D = 0 → Roots are real and equal
If D < 0 → No real roots (imaginary solutions)
Quadratic formula: x = [-b ± √(b² – 4ac)] / 2a

Download PDF

You can download NCERT Class 10 Math Chapter 4: द्विघात समीकरण PDF from the official NCERT website.

NCERT Class 10 Math Chapter 14: प्रायिकता PDF Download

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a coin, rolling a dice, or drawing cards, which makes the subject more interesting and practical. Since probability questions are common in board exams and are generally considered easy, this chapter is highly important for scoring well.

I am writing about this topic because probability is not only an important part of the Class 10 syllabus but also a concept that students will use in higher studies and real life. From predicting weather conditions to calculating risks in business, probability plays a key role. Many students initially find it confusing, but NCERT presents it in a simple and easy-to-understand manner. By practising from the NCERT book, students can build a strong foundation and develop confidence in solving probability problems. Having the PDF makes it easier for learners to access the chapter anytime, revise formulas, and attempt practice questions before exams.