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

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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.
If the sum of first n terms of an A.P. is given by $ S_n = \frac{n}{2}(3n+1) $, then the first term of the A.P. is
- 2
- $ \frac{3}{2} $
- 4
- $ \frac{5}{2} $
View Solution
2.
The sum of a number and its reciprocal is $\frac{13}{6}$. Find the number.
View Solution
3.
Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.
View Solution
4.
Find the sum of first 20 terms of an A.P. whose n$^{th}$ term is given by $a_n = 5 + 2n$. Can 52 be a term of this A.P. ?
View Solution
5.
Find length and breadth of a rectangular park whose perimeter is $100 \, \text{m}$ and area is $600 \, \text{m}^2$.
View Solution
6.
Find 'mean' and 'mode' of the following data : Frequency Distribution Table
Class 0 – 15 15 – 30 30 – 45 45 – 60 60 – 75 75 – 90
Frequency 11 8 15 7 10 9
View Solution

Class	0 – 15	15 – 30	30 – 45	45 – 60	60 – 75	75 – 90
Frequency	11	8	15	7	10	9

View All

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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.
If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is

2.
The sum of a number and its reciprocal is \(\frac{13}{6}\). Find the number.

3.
Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.

4.
Find the sum of first 20 terms of an A.P. whose n\(^{th}\) term is given by \(a_n = 5 + 2n\). Can 52 be a term of this A.P. ?

5.
Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

6.
Find 'mean' and 'mode' of the following data : Frequency Distribution Table
Class 0 – 15 15 – 30 30 – 45 45 – 60 60 – 75 75 – 90
Frequency 11 8 15 7 10 9

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.If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is

2.The sum of a number and its reciprocal is \(\frac{13}{6}\). Find the number.

3.Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.

4.Find the sum of first 20 terms of an A.P. whose n\(^{th}\) term is given by \(a_n = 5 + 2n\). Can 52 be a term of this A.P. ?

5.Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

6.Find 'mean' and 'mode' of the following data : Frequency Distribution Table Class0 – 1515 – 3030 – 4545 – 6060 – 7575 – 90Frequency118157109

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is

2.
The sum of a number and its reciprocal is \(\frac{13}{6}\). Find the number.

3.
Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.

4.
Find the sum of first 20 terms of an A.P. whose n\(^{th}\) term is given by \(a_n = 5 + 2n\). Can 52 be a term of this A.P. ?

5.
Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

6.
Find 'mean' and 'mode' of the following data : Frequency Distribution Table
Class 0 – 15 15 – 30 30 – 45 45 – 60 60 – 75 75 – 90
Frequency 11 8 15 7 10 9