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Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 6 (25 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. If a pair of linear equations is consistent then their graph lines will be .....

Correct Answer: D) Intersecting or coincident.

2. The pair of equations x = 0 and x = 5 has

Correct Answer: A) No solution.

3. Which of the following are ways to solve systems of equations?

Correct Answer: D) All of the above.

4. True or False:If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is consistent

Correct Answer: A) True.

5. How can you tell if a point is a solution to a system?

Correct Answer: B) The (x, y) coordinates satisfy both equations.

6. Solve for x and y3x + 2y = 167x + y = 19

Correct Answer: D) (2, 5).

7. Graphically, the pair of equations 6x-3y + 10 = 0, 2x-y + 9 = 0 represents two lines which are

Correct Answer: D) Parallel.

8. For two lines in a plane, which statement is false?

Correct Answer: B) The two lines will intersect at two points.

9. Solve for x and y. By elimination method. 2x+y=7 and 4x-3y=-1

Correct Answer: A) X=2 and y=3.

10. The pair of equations x + 2y + 5 = 0 and-3x-6y + 1 = 0 have

Correct Answer: D) No solution.

11. The pair of equations $ax+2y=7$ $3x+by=16$

Correct Answer: D) $ab=6$.

12. The equations 4x + 3y-5 = 0 and 12x + 9y = 15 represent

Correct Answer: B) Infinite many solution.

13. How do we know if a system of equations has no solution?

Correct Answer: D) The lines are parallel.

14. If a system of linear equations has one solution, what does this mean about the two lines?

Correct Answer: C) Intersecting lines.

15. Y=x-9y=-4x

Correct Answer: C) X = 1.8y =-7.2.

16. For what value of k, do the equations 3x-y + 8 = 0 and 6x-ky =-16 represent coincident lines?

Correct Answer: C) 2.

17. For what value of k, do the equations 5x-2 y + 8 = 0 and 15x + ky =-24 represent coincident lines?

Correct Answer: D) -6.

18. A solution to a system of linear equationswith two variablesis written as an ordered pair( x, y ).

Correct Answer: A) True.

19. The pair of equation x+2y+5=0 and-3x-6y+1=0 has

Correct Answer: D) No solution.

20. A solution to a systemof two linear equationsin two variablesmust make BOTHequations TRUE.

Correct Answer: B) True.

21. The graph of ax + by + c = 0 is .....

Correct Answer: C) A general straight line.

22. Solve for x and yy = 2x + 1y = 4x-1

Correct Answer: A) (1, 3).

23. Solve by the Elimination method:3x + y =-22x + y = 3

Correct Answer: A) (-5, 13).

24. The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point .....

Correct Answer: D) (0, 2).

25. Choose the pair of equations which satisfy the point (1, -1)

Correct Answer: B) 4x+y=3, 3x+2y=1.

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