Class 10 Maths MCQ Test – Pair of Linear equations in two variables (Chapter 3) | Full Chapter Test

Class 10 Maths MCQ Test

Chapter 3: Pair of Linear Equations in Two Variables | Full Chapter Test

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1. The system 2x + 3y = 11 and 4x + 6y = 22 has:

No solution Unique solution Infinitely many solutions Exactly two solutions

2. If a₁/a₂ = b₁/b₂ ≠ c₁/c₂ then the pair of equations is:

Consistent with infinite solutions Inconsistent Consistent with unique solution Dependent equations

3. The solution of x − y = 2 and 2x − 2y = 4 is:

(2,0) (3,1) Infinitely many solutions No solution

4. The graphical solution of two linear equations corresponds to:

Intersection of lines Area between lines Slope of lines Product of slopes

5. Solve using elimination: 3x + 2y = 11 and 3x − 2y = 3

x=2, y=1 x=1, y=2 x=3, y=1 x=1, y=3

6. The pair 2x − 3y = 8 and 4x − 6y = 9 is:

Consistent Inconsistent Dependent Identical

7. Solve: x + y = 5 and x − y = 1

(3,2) (2,3) (4,1) (1,4)

8. Two lines representing a pair of linear equations are parallel. The system is:

Consistent Inconsistent Dependent Has infinite solutions

9. A sum of two numbers is 10 and their difference is 4. The numbers are:

7 and 3 6 and 4 8 and 2 5 and 5

10. If a₁/a₂ ≠ b₁/b₂ then the pair of equations has:

Unique solution Infinite solutions No solution Exactly two solutions

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