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NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.6: Exercise 3.6 of Class 10 Maths deals with the topic Equations Reducible to a Pair of Linear Equations in Two Variables. There are 11 questions for students to practise. In this article, students will find the NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.6.
Embibe’s experts have curated around 50 practice questions from over 20 books to help students strengthen the basics related to exercise 3.6. The academic experts at Embibe prepared the solutions in accordance with NCERT guidelines. Continue reading this article to find out the NCERT Solutions for Class 10 Maths Exercise 3.6.
The chapter Pair of Linear Equations in Two Variables includes topics like Introduction to Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations & Graphical Method of Solution of a Pair of Linear Equations. Embibe has prepared a total of 1500+ questions curated from 50+ books to give students hands-on in solving problems.
In addition, to the practice questions, students can also refer to Embibe explainers, 3D videos, and exemplars to learn the concepts. Moreover, they can evaluate their performance through customisable tests they can create independently. To find the important topics included in the chapter, students can check the table below.
| Sr. No. | Topic Name |
|---|---|
| Exercise 3.1 | Pair of Linear Equations in Two Variables |
| Exercise 3.2 | Graphical Method of Solution of a Pair of Linear Equations |
| Exercise 3.3 | Substitution Method |
| Exercise 3.4 | Elimination Method |
| Exercise 3.5 | Cross-Multiplication Method |
| Exercise 3.6 | Equations Reducible to a Pair of Linear Equations in Two Variables |
Once students have completed practising the exercise, they can refer to the important points mentioned below for a quick revision.
We must first draw the lines they represent to solve a pair of linear equations in two variables using the Graphical method.
If the two lines intersect at a point, we say the pair is consistent, and the intersection point coordinates provide a unique solution.
When the two lines are parallel, the pair has no solution and is referred to as an inconsistent pair of equations.
If the two lines coincide, the problem has an infinite number of solutions. Every point on the line represents a solution. In this case, we say that the pair of linear equations have an infinite number of solutions.
The following are the algebraic solutions to a pair of linear equations in two variables: Substitution, Elimination, and Cross-multiplication.
If students want to refer to other chapters of Class 10 Maths, they can find them in the links mentioned below.
Chapter 1 – Real Numbers
Chapter 2 – Polynomials
Chapter 3 – Pair of Linear Equations in Two Variables
Chapter 4 – Quadratic Equations
Chapter 5 – Arithmetic Progressions
Chapter 6 – Triangles
Chapter 7 – Coordinate Geometry
Chapter 8 – Introduction to Trigonometry
Chapter 9 – Some Applications of Trigonometry
Chapter 10 – Circles
Chapter 11 – Constructions
Chapter 12 – Areas Related to Circles
Chapter 13 – Surface Areas and Volumes
Chapter 14 – Statistics
Chapter 15 – Probability
Ans: The topics included in Class 10 Linear Equations are Introduction to Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations & Graphical Method of Solution of a Pair of Linear Equations
Ans: There are 7 exercises in Class 10 Maths Chapter 3.
Ans: Students can get Class 10 Maths NCERT Solutions for Exercise 3.6 from this page.
Ans: There are over 70 practice questions on Embibe for Class 10 Maths Exercise 3.6.
Ans: Yes, NCERT Solutions for Class 10 Maths Chapter 3 helpful for exams as they are prepared based on NCERT guidelines.
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