45 marks out of 90 marks will be MCQ in SEBA Class 10 maths. 4 Questions of 1 mark each will come from SEBA Class 10 Maths Chapter 3 MCQ (Linear Equations in 2 Variables).

So, we have prepared 10 important MCQ Questions from SEBA Class 10 Maths Chapter 3 Linear Equations in 2 Variables. Before that, we will provide detailed syllabus and topics of Chapter 3 Linear Equations in 2 Variables prescribed by SEBA for Class 10. Moreover, we have provided mark distribution of SEBA Class 10 Maths Linear Equations in 2 Variables.

## Table of Contents

## SYLLABUS OF SEBA CLASS 10 MATHS CHAPTER 3 (LINEAR EQUATIONS IN 2 VARIABLES)

First let us know the syllabus of SEBA Class 10 Maths Chapter 3 – Linear Equations in 2 Variables.

- Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.

- Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems

## TOPICS COVERED UNDER SEBA CLASS 10 MATHS CHAPTER 3 (LINEAR EQUATIONS IN 2 VARIABLES)

The SCERT Maths textbook for Class 10 has the following topics in Chapter 3 -Linear Equations in 2 Variables.

- 3.1 Introduction
- 3.2 Pairs of Linear Equations in Two Variables.
- 3.3 Graphical Method of Solution of a Pair of Linear Equations
- 3.4 Algebraic Methods of Solving a Pair of Linear Equations
- 3.4.2 Elimination Method
- 3.4.3 Cross – Multiplication Method
- 3.5 Equations Reducible to a Pair of Linear Equations in Two Variables

There are 7 exercises covering the above topics including optional exercise. The solution of Chapter 3 exercises can be found in this link.

## SEBA CLASS 10 MATHS CHAPTER 3 (LINEAR EQUATIONS IN 2 VARIABLES)

Linear equations in two variables are equations that can be written in the form

**ax + by = c**

where a, b, and c are constants and x and y are variables.

These types of equations represent straight lines when graphed on a coordinate plane.

### SOLVING LINEAR EQUATIONS IN 2 VARIABLES

To solve a linear equation in two variables, you can use the following steps:

- Move all the terms with variables to one side of the equation and all the constants to the other side. This is called “isolating the variables.”

- Simplify the equation by combining like terms and using the properties of equality.

Solve the equation by using one of the following methods:

- Graph the equation on a coordinate plane and find the point of intersection with the x- and y-axes. This point represents the solution to the equation.

- Use the substitution method, where you solve for one variable in terms of the other and substitute this value back into the original equation.

- Use the elimination method, where you eliminate one of the variables by adding or subtracting the equations to get a single equation in one variable. Then solve this equation to find the value of the remaining variable.

## MARKS DISTRIBUTION OF CHAPTER 3 (LINEAR EQUATIONS IN 2 VARIABLES)

Exactly 50% of marks in SEBA Class 10 HSLC Examination is assigned for MCQ and Very Short Answer (VSA) Questions.

Five(5) types of questions or question format will be asked from Class 10 Maths Chapter 3 Linear Equations in 2 Variables as listed below.

- Multiple Choice Questions (MCQ) – 1 Marks each
- Very Short Answer (VSA) – 1 Marks each
- Short Answer Type Questions (SA-II) – 3 Marks each

These questions of this chapter will be based on knowledge and understanding. 4 MCQ of 1 marks each of SEBA Class 10 Maths Chapter 3 MCQ (Linear Equations in 2 Variables) will be asked in SEBA HSLC Examination.

The detail marks distribution is shown in the table below.

Knowledge | Understanding | Application | Skill | Total | |

MCQ/VSA (1 Marks) | 2 x 1 = 2 | 2 x 1= 2 | – | – | 4 |

SA-I (2 Marks) | – | – | – | – | – |

SA-II (3 marks) | – | – | 3 x 1=3 | – | 3 |

LA (4 Marks) | – | – | – | – | – |

Total | 2 | 2 | 3 | – | 7 |

So, you can see that 4 marks will come from SEBA Class 10 Maths Chapter 3 MCQ.

## SEBA CLASS 10 MATHS CHAPTER 3 (LINEAR EQUATIONS IN 2 VARIABLES) MCQ

- Which of the following is NOT a linear equation in two variables?

A) 2x + y = 3

B) x^{2} + y^{2} = 1

C) x + y = 5

D) 3x – 2y = 4

2. Which of the following equations does NOT represent a straight line when graphed on a coordinate plane?

A) x + 2y = 3

B) 2x + y = 4

C) x^2 + y^2 = 1

D) 3x + 2y = 6

3. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is

(A) –5/4

(B) 2/5

(C) 15/4

(D) 3/2

4. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively

(A) 3 and 5

(B) 5 and 3

(C) 3 and 1

(D) –1 and –3

5. The pair of equations y = 0 and y = –7 has

(A) one solution

(B) two solutions

C) infinitely many solutions

(D) no solution

6. The value of c for which the pair of equations x – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

(A) 3

(B) – 3

(C) –12

(D) no value

7. Which of the following pairs of linear equations are consistent?

(A) 2x – 3y = 8; 4x – 6y = 9

(B) x – y = 8, 3x – 3y = 16

(C) 2x + y – 6 = 0, 4x – 2y – 4 = 0

(D) 2x – 2y – 2 = 0, 4x – 4y – 5 = 0

8. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point.

A) (2, 0)

B) (0, 3)

C) (3, 0)

D) (0, 2)

9. A point on the line x=y can be written in the form.

A) (a, -a)

B) (0, a)

C) (a, 0)

D) (a, a)

10. x = 9, y = 4 is a solution of the linear equation

- 2x + y = 17
- x + y = 17
- x + 2y = 17
- 3x – 2y = 17

## SEBA CLASS 10 MATHS MCQ PDF

The SEBA Class 10 Maths Chapter 3 MCQ PDF is given below

- Class 10 Chapter 1 MCQ – Real Numbers
- Class 10 Chapter 2 MCQ – Polynomials
- Class 10 Chapter 3 MCQ – Linear Equations in 2 Variables

More chapters will added in this list. So, keep visiting www.guwahatilive.com Education Section

## FREQUENTLY ASKED QUESTIONS

**What are linear equations in two variables class10?**

Linear equations in two variables are equations that can be written in the form

ax + by = c

where a, b, and c are constants and x and y are variables.

These types of equations represent straight lines when graphed on a coordinate plane.

### How many exercises are there in linear equations in two variables Class 10?

There are 7 exercises covering the above topics including optional exercise. The topics of the exercises are listed below.

3.1 Introduction

3.2 Pairs of Linear Equations in Two Variables.

3.3 Graphical Method of Solution of a Pair of Linear Equations

3.4 Algebraic Methods of Solving a Pair of Linear Equations

3.4.2 Elimination Method

3.4.3 Cross – Multiplication Method

3.5 Equations Reducible to a Pair of Linear Equations in Two Variables

## CONCLUSION

We have also provided detailed syllabus and topics of Chapter 3 inear equations in two variables prescribed by SEBA for Class 10 in this post. We have also provided mark distribution of SEBA Class 10 Chapter 2 Polynomials.

At the end, we have provide 10 important MCQs on SEBA Class 10 Maths Chapter 2 Polynomials. If you want the answer to all the SEBA Class 10 Maths Chapter 3 MCQ (Linear equations in two variables), do comment us.