/20 1234567891011121314151617181920 Pair of Linear Equations in Two Variables 1 / 20 1. The system of equations x + y = 5 and 2x + 2y = 10 has A) A unique solution B) Infinite solutions C) No solution D) None of these 2 / 20 2. If two equations are of the form a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, then for a unique solution A) a₁/a₂ = b₁/b₂ = c₁/c₂ B) a₁/a₂ ≠ b₁/b₂ C) None of these D) a₁/a₂ = b₁/b₂ ≠ c₁/c₂ 3 / 20 3. If two lines are parallel, then the system of equations has A) Infinite solutions B) No solution C) None of these D) One solution 4 / 20 4. The system x + 2y = 4 and 2x + 4y = 8 represents A) Parallel lines B) Coincident lines C) None of these D) Intersecting lines 5 / 20 5. If two lines are coincident, then the number of solutions is A) Zero B) Infinite C) Two D) One 6 / 20 6. The value of x in the system 2x + 3y = 12 and x – y = 3 is A) 3 B) 4 C) 5 D) 6 7 / 20 7. The substitution method for solving a pair of linear equations involves A) None of these B) Substituting the value of one variable from one equation into the other C) Adding the two equations D) Multiplying the equations 8 / 20 8. If the pair of equations x + y = 3 and 2x + 2y = 6 are given, then the lines represented by them are A) Coincident B) Intersecting C) Parallel D) None of these 9 / 20 9. Two linear equations form a consistent system if A) They have no solution B) They have at least one solution C) They have parallel lines D) None of these 10 / 20 10. The elimination method for solving linear equations involves A) Substituting the value of a variable B) Adding or subtracting equations to eliminate one variable C) Guessing the answer D) None of these 11 / 20 11. A linear equation in two variables is of the form A) ax³ + bx² + cx + d = 0 B) None of these C) ax + by + c = 0 D) ax² + bx + c = 0 12 / 20 12. The graph of x + y = 5 and x – y = 1 will intersect at A) (1, 4) B) (4, 1) C) (2, 3) D) (3, 2) 13 / 20 13. The number of solutions a pair of linear equations can have is A) Infinite or unique B) 0 C) None of these D) 1 14 / 20 14. If the coefficients of x and y in two equations are proportional, but the constant terms are not, then the pair of equations has A) No solution B) None of these C) Infinite solution D) One solution 15 / 20 15. If two lines intersect at one point, the pair of equations has A) None of these B) Infinite solutions C) Unique solution D) No solution 16 / 20 16. If a pair of equations has a unique solution, then the lines represented by them must be A) Parallel B) Intersecting C) Coincident D) None of these 17 / 20 17. The graphical representation of a pair of linear equations in two variables is always A) A circle B) None of these C) A parabola D) The straight line 18 / 20 18. If the equations 3x – 2y = 4 and 6x – 4y = 9 are given, then they are A) Dependent B) None of these C) Consistent D) Inconsistent 19 / 20 19. The pair of equations 2x – 3y = 6 and 4x – 6y = 12 represent A) Parallel lines B) None of these C) Intersecting lines D) Coincident lines 20 / 20 20. The system of equations x – y = 2 and 3x – 3y = 6 represents A) None of these B) Intersecting lines C) Parallel lines D) Coincident lines Share Your Score with Friends Facebook Twitter
