NCERT Class 10 Math Chapter 3: दो चर वाले रैखिक समीकरण युग्म PDF Download

NCERT Class 10 Math Chapter 3 दो चर वाले रैखिक समीकरण युग्म (Pair of Linear Equations in Two Variables) is an important chapter that teaches students how to form and solve equations involving two unknowns. This chapter focuses on different methods of solving such equations like graphical method, substitution method, elimination method, and cross multiplication

NCERT Class 10 Math Chapter 3 दो चर वाले रैखिक समीकरण युग्म (Pair of Linear Equations in Two Variables) is an important chapter that teaches students how to form and solve equations involving two unknowns. This chapter focuses on different methods of solving such equations like graphical method, substitution method, elimination method, and cross multiplication method. It also helps students apply these concepts to real-life problems such as age-related questions, speed and distance, and financial situations.

I am writing about this chapter because many students find linear equations easy in single variable but get confused when two variables are involved. Understanding this chapter is very important because it is widely used in higher studies, competitive exams, and daily problem-solving. For example, when we calculate profit and loss together, distribute work, or even plan budgets, linear equations in two variables come into play. In Class 10 board exams, this chapter carries good weightage, and solving it thoroughly ensures strong basics for algebra in Class 11 and 12. That is why it is useful for students to have the NCERT PDF handy and practise each method step by step.

Key Topics in Chapter 3 दो चर वाले रैखिक समीकरण युग्म

This chapter covers the following important concepts:

Introduction to Linear Equations in Two Variables – General form ax + by + c = 0
Graphical Method – Representing equations on a graph and finding solutions as intersection points
Algebraic Methods
- Substitution Method
- Elimination Method
- Cross Multiplication Method
Equations Reducible to Linear Form – Converting equations into linear form for solving
Word Problems – Application-based questions like time-speed, work, and finance

Why this chapter matters

Strong base for algebra and coordinate geometry
Frequently asked in CBSE Class 10 board exams
Useful in real-life problem-solving
Important for competitive exams like JEE, NDA, and banking level maths

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You can download NCERT Class 10 Math Chapter 3: दो चर वाले रैखिक समीकरण युग्म PDF directly from here.

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.