NCERT Mathematics Class 10 Exemplar Ch 3 Pair of Linear Equations in Two Variables Part 3

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EXERCISE 3.2

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

(i) and

(ii) and

(iii) and

Answer: (i) Yes (ii) No (iii) No

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

(i) and

(ii) and

(iii) and

Answer: (i) No (ii) Yes (iii) No

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

(i) and

(ii) and

(iii) and

(iv) and

Answer: (i) No (ii) Yes (iii) Yes (iv) No

4. For the pair of equations and To have infinitely many solutions, the value of λ should be 1. Is the statement true? Give reasons.

Answer: No

5. For all real values of c, the pair of equations and have a unique solution. Justify whether it is true or false.

Answer: False

6. The line represented by is parallel to the x–axis. Justify whether the statement is true or not.

Answer: Not true