CBSE Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables Multiple Choice Questions with Answers. MCQ Questions Class 10 Mathematics Pair of Linear Equations in Two Variables with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Pair of Linear Equations in Two Variables MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 1
Question 1:
A pair of linear equations a1x + b1y + c1 = 0; a2x + b2y + c2 = 0 is said to be inconsistent, if
(a) (a1/a2) ≠ (b1/b2)
(b) (a1/a2) = (b1/b2) ≠ (c1/c2)
(c) (a1/a2) = (b1/b2) = (c1/c2)
(d) (a1/a2) ≠ (c1/c2)
Correct Answer – (B)
Question 2 :
Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
(a) intersecting at one point
(b) parallel
(c) intersecting at two points
(d) coincident
Correct Answer – (B)
Question 3 :
The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
(a) a unique solution
(b) infinitely many solutions
(c) no solution
(d) two solutions
Correct Answer – (C)
Question 4 :
If a pair of linear equations is consistent, then the lines will be
(a) always coincident
(b) parallel
(c) always intersecting
(d) intersecting or coincident
Correct Answer – (D)
Question 5 :
The pair of equations x = 0 and x = 5 has
(a) no solution
(b) unique/one solution
(c) two solutions
(d) infinitely many solutions
Correct Answer – (C)
Question 6 :
The pair of equation x = – 4 and y = – 5 graphically represents lines which are
(a) intersecting at (- 5, – 4)
(b) intersecting at (- 4, – 5)
(c) intersecting at (5, 4)
(d) intersecting at (4, 5)
Correct Answer – (B)
Question 7 :
For what value of k, do the equations 2x – 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident lines
(a) (-9/2)
(b) -11
(c) 9/2
(d) -7
Correct Answer – (A)
Question 8 :
If the lines given by 2x + ky = 1 and 3x – 5y = 7 are parallel, then the value of k is
(a) (-10/3)
(b) 10/3
(c) -13
(d) -7
Correct Answer – (A)
Question 9 :
One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be
(a) 2x + 5y = 6
(b) 3x + 5y = 3
(c) -10x – 25y + 15 = 0
(d) 10x + 25y = 15
Correct Answer – (C)
Question 10 :
If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
(a) 6, -1
(b) 2, 3
(c) 1, 4
(d) 19/5, 6/5
Correct Answer – (D)
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.1
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.2
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.3
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.4
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.5
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.6
- NCERT Solutions Class 10 Mathematics Linear Equations In Two Variables : Exercise 3.7
