## CBSE Class 10 Maths Important Questions Chapter 3 - Pair of Linear Equations in Two Variables - Free PDF Download

Important Questions for CBSE Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables 2024-25

## FAQs on Important Questions for CBSE Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables 2024-25

1. Where can we avail the Important questions for class 10 maths chapter 3 linear equations in two variables?

The most accurate and reliable Important questions for class 10 maths chapter 3 linear equations in two variables are available on Vedantu as a free PDF download to help students. Prepared by subject matter experts these are one of the most reliable and irreplaceable study material for the students. With the Important questions, Vedantu provides students with mock papers, sample papers, solved previous years question papers along with NCERT Solutions along with answers to make studying as flawless as possible for the students. Along with these study materials, students can avail LIVE online classes on Vedantu to make they’re studying a more realistic and productive activity to obtain maximum results.

2. What do the Important Questions for Class 10 Maths hold?

The important questions for Class 10 Maths hold all the questions that are important from the exam point of view. This is a very important material as they cover the topics which the students would tend to forget to study them or would have missed them during their study session. These questions cover most of the important topics and chapters in the form of solved questions that help students learn better. These important questions will help you to revise each and every important topic in the syllabus. Also, these important questions are a great way of revising and testing yourself once you finish studying the entire syllabus.

3. What is the general form of a Linear Equation in Two Variables? What is the Solution of a Linear Equation in 2 variables?

The general form of a linear equation in two variables is - ax + by + c = 0, where a and b cannot be zero simultaneously.

The solution of a linear equation in two variables is a pair of values, one for x and the other for y. These two values must make the two sides of the equation equal.

**Eg: **If 4x + y = 14, then (2,6) is one of its solutions as it satisfies the equation.

**Note: **A linear equation in two variables has infinite solutions.

4. What are the different ways of finding solutions to a linear equation in two variables?

The different ways of finding solutions to a linear equation in two variables are mentioned below:

Elimination method

Substitution method

Cross-multiplication method

Graphical method

5. What tips should be followed by a student to prepare Chapter 3 of Class 10 Maths?

For preparing Chapter 3 of Class 10 Maths, the following tips should be followed by the students:

Refer to the Maths NCERT book for understanding the concepts of Chapter 3 of Class 10 Maths.

Solve every exercise and example to comprehend the chapter in a better way.

Try to attend the school lectures as you will be able to understand the chapter more easily.

Go through the previous years question papers to know about the pattern of the exam.

6. What are the various topics included in Chapter 3 of Class 10 Maths?

The several concepts covered in Chapter 3 of Class 10 Maths are:

Introduction

Pair of Linear Equations in Two Variables

Discovering Solution Graphically for a Pair of Linear Equations

Solving a Pair of Linear Equations with the help of Algebraic Methods

I. Substitution Method

II. Elimination Method

III. Cross-Multiplication Method

Reduction of a Set of Linear Equations in Two Variables

Students have to be thorough with these topics to solve questions related to the chapter.

7. What is the method of finding the existence of solutions for a pair of linear equations?

The Linear equations are represented by two lines in the graphical method.

To find their solutions consider the following points:

If the pair of equations is consistent then the lines will cut each other at a common point. This means that these equations will have a unique solution.

There are infinitely many solutions for that pair of equations for which the two lines will coincide with each other. These equations are dependent.

The pair of equations will have no solution if the lines are parallel. In this case, these equations are inconsistent.

8. What is the basic concept behind the topic "Pair of Linear Equations in Two Variables"?

This topic is taken from Chapter 3 of Class 10 Maths. In this topic, students will learn about the general format for writing linear equations in two variables. The equation is presented in the form of "ax + by + c = 0" where a and b are non-zero and real numbers. The solution for the equations is defined as those values of x and y, which makes the two equations equal. As the equation is represented by a line, therefore, the solution of the equation is a point on that line.

9. Is it possible to download important questions of Chapter 3 of Class 10 Maths?

Yes, it is. Students can download the important questions of Chapter 3 of Class 10 Maths by following the given steps:

Visit the page-Important questions for Chapter 3 of Class 10 Maths.

Vedantu's official website will open.

After the opening of the website, you will see that the important questions of Chapter 3 of Class 10 Maths are available there.

On top of the provided important questions, you will discover the option of "Download PDF".

Click that option and the PDF file will be downloaded free of cost.

Students can also visit the Vedantu app to download the study material free of cost.