NCERT Solutions For Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Exercise 3.1 – 2025-26
📘 Pair of Linear Equations in Two Variables – Class 10 Questions and Answers (Free PDF Download)
The chapter on Linear Equations in Two Variables introduces students to solving equations using graphical methods, a concept that can initially seem complex. To master this topic, students often benefit from expert guidance and well-structured solutions.
🔍 Focus on Exercise 3.1 – Graphical Method
Exercise 3.1 of Class 10 Maths Chapter 3 involves solving equations with two variables, laying the foundation for understanding how equations represent straight lines on a graph. Given the chapter’s significance in board exams, having access to Class 10 Maths Chapter 3 Exercise 3.1 solutions is essential for thorough preparation.
✨ What You’ll Find in the Free PDF by Mathify.in
- Step-by-step solutions for Exercise 3.1, aligned with the latest CBSE syllabus
- Easy-to-follow graphical techniques for solving linear equations
- Expert tips and shortcut methods to boost exam performance
- Clear explanations designed to build conceptual clarity
The NCERT Book Solutions provided by Mathify.in are crafted by subject experts to ensure accuracy and relevance. These PDFs are freely available for download, helping students study anytime, anywhere.
📚 Note: Class 10 Science Solutions PDFs are also available on Mathify.in for comprehensive exam preparation across subjects.
👀 Glance at NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.1 | Mathify.in
Exercise 3.1 of Chapter 3 focuses on understanding how two linear equations in two variables are represented graphically.
📈 Key Concepts Covered
- Linear equations are represented as straight lines on a graph.
- By comparing the ratios of coefficients —
( \frac{a_1}{a_2}, \frac{b_1}{b_2}, \frac{c_1}{c_2} ) — you can determine the relationship between two lines:- Intersecting lines → One unique solution
- Parallel lines → No solution
- Coincident lines → Infinitely many solutions (lines overlap completely)
🧠 What You’ll Practice in Exercise 3.1
- Given one equation, you’ll be asked to construct another equation that results in a specific graphical relationship (intersecting, parallel, or coincident).
- Understand how coefficients affect slope and y-intercept, which in turn determine the line’s position and orientation on the graph.
- Apply ratio logic to predict graphical outcomes:
- Equal ratios → Coincident lines
- Unequal ratios → Intersecting lines
- Equal ratios with differing constants → Parallel lines
📘 Why Use Mathify.in’s Solutions?
- Clear, step-by-step explanations tailored to CBSE guidelines
- Visual insights into how equations behave on a graph
- Expert-curated examples to reinforce conceptual understanding
Exercise 3.1 includes 7 questions that guide students through the graphical interpretation of linear equations — a foundational skill for solving systems of equations.
Access NCERT Solutions for Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables
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