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In this article you will get CBSE Class 10 Mathematics chapter 3, Pair of Linear Equations in Two Variables: NCERT Exemplar Problems and Solutions (Part-II). Every question has been provided with a detailed solution. All the questions given in this article are very important to prepare for CBSE Class 10 Board Exam 2017-2018.
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.┬аDo the following pair of linear equations have no solution? Justify your answer.
┬а
┬а
┬а
┬а
Hence, the given pair of linear equations is coincident and having infinitely many solutions.
Quesntion2.┬аDo the following equations represent a pair of coincident lines? Justify your answer.
┬а
Therefore, the given pair of linear equations has unique solution.
(ii) Given,┬а-2x┬а- 3y┬а-1 = 0 and 6y┬а+ 4x┬а+ 2 = 0 on comparing with┬аa1x┬а+┬аb1y┬а+┬аc1┬а= 0 and┬аa2x┬а+┬аb2y┬а+┬аc2┬а= 0, we have:
┬а
So, the given pair of linear equations is coincident.
Therefore, the given pair of linear equations has no solution.
Quesntion3.┬аAre the following pair of linear equations consistent? Justify your answer.
(i) -3x┬а-4y┬а= 12 and 4y┬а+ 3x =┬а12
(ii)┬аand
(iii)┬аand
(iv)┬аx┬а+ 3y┬а= 11 and┬а2(2x┬а+ 6)┬а= 22
Solution:
To remember:
Therefore, the pair of linear equations has no solution or inconsistent.
(ii) Yes,
Given,
┬а
Therefore, the given pair of linear equations has infinitely many solutions or┬аconsistent.
(iv) No
So, the pair of linear equation have no solution or┬аinconsistent.
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