# NCERT Mathematics Class 10 Exemplar Ch 3 Pair of Linear Equations in Two Variables Part 1 (For CBSE, ICSE, IAS, NET, NRA 2023)

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EXERCISE 3.1

Choose the correct answer from the given four options:

1. Graphically, the pair of equations represents two lines which are

(A) Intersecting at exactly one point. (B) Intersecting at exactly two points.

(C) Coincident. (D) Parallel.

2. The pair of equations and have

(A) a unique solution (B) exactly two solutions

(C) infinitely many solutions (D) no solution

3. If a pair of linear equations is consistent, then the lines will be

(A) parallel (B) always coincident

(C) intersecting or coincident (D) always intersecting

4. The pair of equations and has

(A) One solution (B) two solutions

(C) Infinitely many solutions (D) no solution

5. The pair of equations and graphically represents lines which are

(A) Parallel (B) intersecting at (b, a)

(C) Coincident (D) intersecting at (a, b)

6. For what value of k, do the equations and represent coincident lines?

(A) (B)

(C) 2 (D) – 2

7. If the lines given by and are parallel, then the value of k is

(A) (B)

(C) (D)

8. The value of c for which the pair of equations and will have infinitely many solutions is

(A) 3 (B) – 3

(C) – 12 (D) no value

9. One equation of a pair of dependent linear equations is . The second equation can be

(A) (B)

(C) (D)