NCERT Mathematics Class 10 Exemplar Ch 3 Pair of Linear Equations in Two Variables Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)
Get unlimited access to the best preparation resource for CBSE/Class-10 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.
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.
Answer: D
2. The pair of equations and have
(A) a unique solution (B) exactly two solutions
(C) infinitely many solutions (D) no solution
Answer: D
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
Answer: C
4. The pair of equations and has
(A) One solution (B) two solutions
(C) Infinitely many solutions (D) no solution
Answer: D
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)
Answer: D
6. For what value of k, do the equations and represent coincident lines?
(A) (B)
(C) 2 (D) – 2
Answer: C
7. If the lines given by and are parallel, then the value of k is
(A) (B)
(C) (D)
Answer: C
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
Answer: D
9. One equation of a pair of dependent linear equations is . The second equation can be
(A) (B)
(C) (D)
Answer: D
10. A pair of linear equations which has a unique solution , is
(A) and (B) and
(C) and
(D) and
Answer: D