This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Pair Of Linear Equations In Two Variables > Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 3 (33 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is ..... A) 6. B) 5. C) 4. D) 2. Show Answer Correct Answer: C) 4. 2. The graphs of the equations 2x+3y-2=0 and x-2y-8=0 are two lines which are ..... A) Coincident. B) Parallel. C) Intersecting exactly at one point. D) Perpendicular to each other. Show Answer Correct Answer: C) Intersecting exactly at one point. 3. If a pair of linear equations is consistent then their graph lines will be ..... A) Parallel. B) Always coincident. C) Always intersecting. D) Intersecting or coincident. Show Answer Correct Answer: D) Intersecting or coincident. 4. The pair of equations x = 0 and x = 5 has A) Infinitely many solutions. B) Two solutions. C) No solution. D) Unique/one solution. Show Answer Correct Answer: C) No solution. 5. Which of the following are ways to solve systems of equations? A) Graphing. B) Substitution. C) Elimination. D) All of the above. Show Answer Correct Answer: D) All of the above. 6. 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 A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 7. How can you tell if a point is a solution to a system? A) It makes the first equation true. B) The (x, y) coordinates satisfy both equations. C) It makes logical sense. D) It makes neither equation negative. Show Answer Correct Answer: B) The (x, y) coordinates satisfy both equations. 8. Solve for x and y3x + 2y = 167x + y = 19 A) (-2, 5). B) (-2, -5). C) (2, 5). D) (2, -5). Show Answer Correct Answer: C) (2, 5). 9. For two lines in a plane, which statement is false? A) The two lines will intersect at two points. B) The two lines will not intersect. C) The two lines will intersect at one point. D) The two lines will be coincident. Show Answer Correct Answer: A) The two lines will intersect at two points. 10. Solve for x and y. By elimination method. 2x+y=7 and 4x-3y=-1 A) X=2 and y=3. B) X=3 and y=2. C) X=-2 and y=-3. D) X=1 and y=5. Show Answer Correct Answer: A) X=2 and y=3. 11. The pair of equations x + 2y + 5 = 0 and-3x-6y + 1 = 0 have A) No solution. B) Exactly two solutions. C) A unique solution. D) Infinitely many solutions. Show Answer Correct Answer: A) No solution. 12. The pair of equations $ax+2y=7$ $3x+by=16$ A) $ab=6$. B) $ Stroke = $. C) $a=b$. D) $ A = Ab $. Show Answer Correct Answer: A) $ab=6$. 13. The equations 4x + 3y-5 = 0 and 12x + 9y = 15 represent A) No solution. B) Infinite many solution. C) Unique solution. D) 2 solutions. Show Answer Correct Answer: B) Infinite many solution. 14. How do we know if a system of equations has no solution? A) The lines are not in slope-intercept form (y=mx+b). B) The lines have the same slope and y-intercept. C) The lines are perpendicular. D) The lines are parallel. Show Answer Correct Answer: D) The lines are parallel. 15. If a system of linear equations has one solution, what does this mean about the two lines? A) Parallel lines. B) The same line. C) Intersecting lines. D) None of the above. Show Answer Correct Answer: C) Intersecting lines. 16. For what value of k, do the equations 3x-y + 8 = 0 and 6x-ky =-16 represent coincident lines? A) 2. B) 1/2. C) -2. D) -1/2. Show Answer Correct Answer: A) 2. 17. For what value of k, do the equations 5x-2 y + 8 = 0 and 15x + ky =-24 represent coincident lines? A) Cannot be coincident. B) 6. C) 4. D) -6. Show Answer Correct Answer: D) -6. 18. A solution to a system of linear equationswith two variablesis written as an ordered pair( x, y ). A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 19. A solution to a systemof two linear equationsin two variablesmust make BOTHequations TRUE. A) False. B) True. C) All the above. D) None of the above. Show Answer Correct Answer: B) True. 20. The graph of ax + by + c = 0 is ..... A) A straight line parallel to x-axis. B) A straight line parallel to y-axis. C) A general straight line. D) A line in the 2nd and 3rd quadrant. Show Answer Correct Answer: C) A general straight line. 21. Solve for x and yy = 2x + 1y = 4x-1 A) (3, 1). B) (1, 3). C) (-1, 3). D) (-1, -3). Show Answer Correct Answer: B) (1, 3). 22. Solve by the Elimination method:3x + y =-22x + y = 3 A) (-13, 5). B) (5, -13). C) (13, 5). D) (-5, 13). Show Answer Correct Answer: D) (-5, 13). 23. The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point ..... A) (0, 2). B) (0, 3). C) (3, 0). D) (2, 0). Show Answer Correct Answer: A) (0, 2). 24. Choose the pair of equations which satisfy the point (1, -1) A) 4x+y=3, 3x+2y=1. B) 4x-y=3, 4x+y=3. C) 2x+y=3, 2x-y=1. D) 2x+3Y = 5, 2x+3Y =-1. Show Answer Correct Answer: A) 4x+y=3, 3x+2y=1. 25. Solve the Simultaneous Equations:x + y = 5x-y = 1 A) X = 2, y = 3. B) X = 3, y = 2. C) X = 3, y =-2. D) X =-3, y = 2. Show Answer Correct Answer: B) X = 3, y = 2. 26. The pair of equations 'y = 0' and 'y =-7' has ..... A) Two solutions. B) No solutions. C) Infinitely many solutions. D) One solution. Show Answer Correct Answer: B) No solutions. 27. Ritu can row downstream 20 km in 2 hours and upstream and 44 km in 2 hours find the speed of rowing in still water and the speed of the current respectively. A) 6km/h and 4km/h. B) 6km/h and 8km/h. C) 4km/h and 8km/h. D) None of the above. Show Answer Correct Answer: A) 6km/h and 4km/h. 28. General form of the linear equations in one variables is A) Ax+b. B) Ax+b=0. C) Ax+by+c. D) Ax+by+c=0. Show Answer Correct Answer: B) Ax+b=0. 29. Differece of two supplementary angles is 60$^{0}$, then the smaller angle is A) 120$^{0}$. B) 80$^{0}$. C) 60$^{0}$. D) 100$^{0}$. Show Answer Correct Answer: C) 60$^{0}$. 30. In a bag containing red and white balls, half the number of white balls is equal to one-third the number of red balls. Thrice the total number of balls exceeds seven times the number of white balls by 6. How many balls of each colour does the bag contain? A) Red balls = 12, and White balls = 10. B) Red balls = 10, and White balls = 10. C) Red balls = 8, and White balls = 12. D) Red balls = 18, and White balls = 12. Show Answer Correct Answer: D) Red balls = 18, and White balls = 12. 31. Solve the following pair of equations 7x-2y = 5 xy8 x + 7y = 15xy A) X = 1y = 1. B) X =-1 y =-1. C) X = 0Y = 0. D) None of the above. Show Answer Correct Answer: A) X = 1y = 1. 32. All solutions of the line 2x + 3y = 7 are also the solutions of equation A) 6x+9y=21. B) 4x+6y=11. C) 6x-y=8. D) Fix + fold = 13. Show Answer Correct Answer: A) 6x+9y=21. 33. Equation of line parallel to the line x + 5y = 7 is A) 2x + 10y = 24. B) 2x + 10y = 21. C) Hypes = z. D) Reverse + neighborhood = 4. Show Answer Correct Answer: A) 2x + 10y = 24. ← PreviousRelated QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 1Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 2 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books