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

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables of exercise 3.2(Class 10 Ex. 3.2) for all boards. We have updated all the contents for the new academic session 2020-2021.

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(Math Class 10 Ex. 3.2)  PDF helps you in your preparation with exercise differentiation so that you can read each chapter more easily and can come back to any chapter again if necessary.

NCERT Solutions for Class 10 Maths (Introduction)

Pair of Linear Equations in Two Variables of exercise 3.2(Class 10 Maths ex 3.2) you have studied the following points:

• A pair of linear equations in two variables can be represented, and solved, by the:
• (i) graphical method  (ii) algebraic method
• Graphical Method :

The graph of a pair of linear equations in two variables is represented by two lines.
(i) If the lines intersect at a point, then that point gives the unique solution of the two
equations. In this case, the pair of equations is consistent.
(ii) If the lines coincide, then there are infinitely many solutions — each point on the
line being a solution. In this case, the pair of equations is dependent (consistent).
(iii) If the lines are parallel, then the pair of equations has no solution. In this case, the
pair of equations is inconsistent.

• Algebraic Methods: We have discussed the following methods for finding the solution(s)
  of a pair of linear equations :

(i) Substitution Method
(ii) Elimination Method
(iii) Cross-multiplication Method

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1(Math Class 10 Ex. 3.2)