Here you get the CBSE Class 10 Mathematics chapter 3, Pair of Linear Equations in Two Variables: NCERT Exemplar Problems and Solutions (Part-I). This part of the chapter includes solutions for Exercise 3.2 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Pair of Linear Equations in Two Variables. This exercise comprises of only the Very Short Answer Type Questions framed from various important topics in the chapter. Each question is provided with a detailed solution.

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.

**Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Pair of Linear Equations in Two Variables:**

**Exercise 3.2**

**Very Short Answer Type Questions**

**Quesntion1.** Do the following pair of linear equations have no solution? Justify your answer.

Hence, the given pair of linear equations is coincident and having infinitely many solutions.

**Quesntion2. **Do the following equations represent a pair of coincident lines? Justify your answer.

Therefore, the given pair of linear equations has unique solution.

(*ii*) Given, *-*2*x *- 3*y *-1 = 0 and 6*y *+ 4*x *+ 2 = 0 on comparing with *a*_{1}*x *+ *b*_{1}*y *+ *c*_{1} = 0 and *a*_{2}*x *+ *b*_{2}*y *+ *c*_{2} = 0, we have:

So, the given pair of linear equations is coincident.

Therefore, the given pair of linear equations has no solution.

**Quesntion3. **Are the following pair of linear equations consistent? Justify your answer.

(i) -3*x *-4*y* = 12 and 4*y* + 3*x = *12

(ii) and

(iii) and

(iv) *x* + 3*y* = 11 and** **2(2*x* + 6)** **= 22

**Solution: **

**To remember:**

Therefore, the pair of linear equations has no solution or inconsistent.

(ii) Yes,

Given,

Therefore, the given pair of linear equations has infinitely many solutions or* *consistent.

(iv) No

So, the pair of linear equation have no solution or* *inconsistent.

**CBSE Class 10 Mathematics Syllabus 2017-2018**

**CBSE Class 10 NCERT Textbooks & NCERT Solutions**

**NCERT Solutions for CBSE Class 10 Maths**

**NCERT Exemplar Problems and Solutions Class 10 Science: All Chapters**