NCERT Solutions for class 10 Maths Chapter 3: Pair Of Linear Equations In Two Variables

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NCERT Solutions for Class 10 Maths Chapter 3: Pair of Linear Equations in Two Variables are provided in this article. A pair of linear equations in two variables having a solution is known as a consistent pair of linear equations. Equivalent pair of linear equations has infinitely many distinct common solutions, such a pair of solutions is known as a dependent pair of linear equations in two variables.

Class 10 Maths Chapter 3 Linear Equations in Two Variables belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination. The NCERT solutions of the chapter include questions related to the Substitution method, Elimination method, and Cross-multiplication method.

Download PDF: NCERT Solutions for Class 10 Mathematics Chapter 3

NCERT Solutions for Class 10 Mathematics Chapter 3

NCERT Solutions

Important Topics in Class 10 Maths Chapter 3

Linear Equations are the equations in which the powers of all the involved variables are one.

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

The solution of a linear equation in two variables is generally a pair of values, one for x and the other for y, which makes the two sides of the equation equal.

For example: If 3x + y = 6, then (0,6) is one of its solutions as it satisfies the equation.

Graph of Linear Equation in two variables: A linear equation in two variables can be geometrically represented as a straight line.

A pair of linear equations in two variables can be represented as shown below –

\(a_1x + b_1y+c_1=0\\ a_2x + b_2y+c_2=0\)

The solution for a consistent pair of linear equations can be found using various methods.

i) Elimination method

ii) Substitution Method

iii) Cross-multiplication of solving linear equations

iv) Graphical method

NCERT Solutions For Class 10 Maths Chapter 3 Exercises:

The detailed solutions for all the NCERT Solutions for Pair of Linear Equations in Two Variables under different exercises are as follows:

Related Topics:

Difference between linear and non-linear equations	Pair of Linear Equations in Two Variables Important Questions	Pair of Linear Equations in Two Variables Formula

CBSE Class 10 Mathematics Study Guides:

Geometry	Math Formula	Maths Study Material
NCERT Solutions for Class 10 Maths	Class 10 Maths Notes	Mensuration
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CBSE X Related Questions

1.
Which of the following sequence is \(\textit{not }\)an A.P. ?
- \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
- \( -1.2, -3.2, -5.2, -7.2, \dots \)
- \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
- \( 1^2, 3^2, 5^2, 7^2, \dots \)
View Solution
2.
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
- 0
- 1
- 3
- 2
View Solution
3.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).
View Solution
4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
5.
If the median of the following distribution is 32.5, then find the values of x and y.
View Solution
6.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is
- \(2\pi r^3\)
- \(3\pi r^3\)
- \(5\pi r^3\)
- \(4\pi r^3\)
View Solution

View All

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NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.1

NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2

NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3

NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.4

NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.5

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NCERT Solutions for class 10 Maths Chapter 3: Pair Of Linear Equations In Two Variables

NCERT Solutions for Class 10 Mathematics Chapter 3

Important Topics in Class 10 Maths Chapter 3

NCERT Solutions For Class 10 Maths Chapter 3 Exercises:

CBSE X Related Questions

1.
Which of the following sequence is \(\textit{not }\)an A.P. ?

2.
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

3.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.
If the median of the following distribution is 32.5, then find the values of x and y.

6.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

Similar Mathematics Concepts

Comments

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NCERT Solutions for class 10 Maths Chapter 3: Pair Of Linear Equations In Two Variables

NCERT Solutions for Class 10 Mathematics Chapter 3

Important Topics in Class 10 Maths Chapter 3

NCERT Solutions For Class 10 Maths Chapter 3 Exercises:

CBSE X Related Questions

1.Which of the following sequence is \(\textit{not }\)an A.P. ?

2.The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

3.Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

4.Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number. Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.If the median of the following distribution is 32.5, then find the values of x and y.

6.Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Which of the following sequence is \(\textit{not }\)an A.P. ?

2.
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

3.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.
If the median of the following distribution is 32.5, then find the values of x and y.

6.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is