﻿ 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 - A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

650

690

698

700

1/10
2. Q.No 2 - 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

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

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 - 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

5/10
6. Q.No 6 - Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

1/3

1/8

2/8

1/16

None

6/10
7. Q.No 7 - 5, 50, 45, 450, 445, ?, 4445

4450

4600

4550

4500

None of the above

7/10
8. Q.No 8 - A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

10/21

11/21

2/7

5/7

None of the above

8/10
9. Q.No 9 - 1, 2, 3, 5, 8, ?

11

13

15

9

None of the above

9/10
10. Q.No 10 - Look carefully for the pattern, and then choose which pair of numbers comes next 9, 16, 23, 30, 37, 44, 51

59,66

58,65

54, 61

56,62

None

10/10