﻿ NCERT Solutions CBSE Class 10 Maths Chapter 3 | Pair of Linear Equations in Two Variables

1. Introduction
2. Pair of Linear Equations in Two Variables
3. Graphical Method of Solution of a Pair of Linear Equations
4. Algebraic Methods of Solving a Pair of Linear Equations
1. Substitution Method
2. Elimination Method
3. Cross-Multiplication Method
5. Equations Reducible to a Pair of Linear Equations in Two Variables
6. summary

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Chapter 3- linear Equation

Learn about linear equations and related concepts!

What is linear Equation?

An equation of form ax + by + c = a, where a, b, and c are real numbers such that a and b are not zero is called linear equation in two variables.

It has infinite solutions.

The graph of the linear equation is always straight line x=a is a straight line parallel to the y-axis and y=b is the straight line parallel to the x – axis.

And every solution of the linear equation is a point on the graph of the linear equation.

The ScoreXTM provides the best study material CBSE class 10 maths chapter 3 which is easy to learn and understand.

What is the format of the course?

In the course of CBSE class 10 math chapter 3, we cover all the main topics. Some are:-

Algebraic methods of solving a pair of linear equations are as follows:-

·         Substitution method - In this method, we can substitute the one value with another value.

·         Elimination method - In this method, we eliminate one of the two variables to obtain an equation in one variable which can be easily solved.

·         Cross - multiplication method - In this method, we have to put the values of a1, a2, b1, b2, c1 and c2. and by solving it, we will get the value of x and y.

Graphical representation of lines

1.         Intersecting lines

2.         Parallel lines

3.         Coincident lines

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1. Q.No 1 - Find the wrong number in the following series. 1250, 1322 , 1452, 1674, 2024 , 2544

1250

1674

2544

2024

1/10
2. Q.No 2 - 5, 50, 45, 450, 445, ?, 4445

4450

4600

4550

4500

None of the above

2/10
3. Q.No 3 - During World War I Germany was defeated in the Battle of Verdun on the western front and Romania declared war on the eastern front in the year

None of the above

3/10
4. Q.No 4 - Find the wrong number in the following series. 3252 , 3080 , 2958 , 2876 , 2826

3080

2876

2826

3252

None

4/10
5. Q.No 5 - In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

6.25

6.5

6.75

7

None

5/10
6. Q.No 6 - The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

0

1

10

19

None

6/10
7. Q.No 7 - 2442 , 1222 , 614 , 312 ,163 , 90 , 55.75 Look at series carefully and find the wrong number

1222

312

90

614

None of the above

7/10
8. Q.No 8 - A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

12 days

15 days

16 days

18 days

None of the above

8/10
9. Q.No 9 - 22, 42, 64, 88, ?

114

112

116

110

None of the above

9/10
10. Q.No 10 - The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is

30º

45º

60º

90º

None of the above

10/10