This quiz works best with JavaScript enabled. Home > Class 9 > Class 9 Maths Chapter 4 Linear Equations In Two Variables – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 4 Linear Equations In Two Variables Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 3x+10 = 0 will have: A) Unique solution. B) Two solutions. C) Infinitely many solutions. D) No solutions. Show Answer Correct Answer: A) Unique solution. 2. If x and y are both positive solutions of equation ax+by+c=0, always lie in A) First quadrant. B) Second quadrant. C) Third quadrant. D) Fourth quadrant. Show Answer Correct Answer: A) First quadrant. 3. The line represented by the equation x + y = 16 passes through (7, 9). How many more lines pass through this point A) One. B) Five. C) Infinite. D) No more lines can pass. Show Answer Correct Answer: C) Infinite. 4. Identify the linear equation whose line will pass through the origin. A) X + y = 10. B) 4x + 2y = 12. C) 10x-3y + 10 = 0. D) X + kh = 0. Show Answer Correct Answer: D) X + kh = 0. 5. Standard of a linear equation in two variables is A) Ax+by=0. B) Ax+by+c=0. C) Ax+c=0. D) All. Show Answer Correct Answer: B) Ax+by+c=0. 6. A line parallel to y-axis and passing through which of the following point A) (3, 5). B) (-4, -3). C) (-4, 0). D) (0, 4). Show Answer Correct Answer: C) (-4, 0). 7. Number of solutions of linear equation in two variable A) One. B) Two. C) Many or infinite. D) We can't say. Show Answer Correct Answer: C) Many or infinite. 8. X = 5, y = 2 is a solution of the linear equation A) X + 2 y = 7. B) 5x + 2y = 7. C) X + y = 7. D) 5 x + y = 7. Show Answer Correct Answer: C) X + y = 7. 9. X=2, y=1 is the solution of 2x+3y=k then k= A) -7. B) 7. C) 14. D) 8. Show Answer Correct Answer: B) 7. 10. There is a 3-digit number lying between 100 and 500. The middle digit is zero and the sum of the other digits is 12. On reversing the digits, the number so formed is exceeding the original number by 594. Find the original number. A) 409. B) 903. C) 309. D) 904. Show Answer Correct Answer: C) 309. 11. Standard form of 2x+6=5y is A) X+Kha+i = 0. B) X+thread = 0. C) +I = 0. D) None. Show Answer Correct Answer: C) +I = 0. 12. X + 6 = 0 is the equation of a line A) Parallel to x-axis and passing through (-6, 0). B) Parallel to y-axis and passing through (-6, 0). C) Parallel to y-axis and passing through (0, -6). D) None of these. Show Answer Correct Answer: B) Parallel to y-axis and passing through (-6, 0). 13. If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation ..... A) Changes. B) Remains the same. C) Changes in case of multiplication only. D) Changes in case of division only. Show Answer Correct Answer: B) Remains the same. 14. Which of the coordinate pairs is a solution to the equation 2x-y + 10 A) (1, 0). B) (2, 6). C) (4, 2). D) (5, 0). Show Answer Correct Answer: D) (5, 0). 15. Which statement is true about the system of linear equations? A) The slopes are different. B) The system has one solution. C) They have the same y-intercept. D) The system has no solution. Show Answer Correct Answer: D) The system has no solution. 16. Any point on the x-axis is of the form A) (x, y). B) (0, y). C) (x, 0). D) (x, x). Show Answer Correct Answer: C) (x, 0). 17. Find the points where the graph of equation 2x + 4y = 12, cuts the x-axis at A) (6, 1). B) (1, 3). C) (6, 0). D) (3, 1). Show Answer Correct Answer: C) (6, 0). 18. Give the geometric representations of (4/5)y-9 = (9/5)y-3 as an equation(i) in one variable(ii) in two variablesWere you able to complete this question? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 19. Solve by elimination:4x+4y=43x+4y=10 A) (7, -6). B) (-6, 7). C) (6, 7). D) (7, 6). Show Answer Correct Answer: B) (-6, 7). 20. The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs.160. A linear equation in two variables to represent the above data is if the amount of apples is represented by "x": A) 2x + y = 160. B) X + 2y = 160. C) None of these. D) X+ y = 160. Show Answer Correct Answer: A) 2x + y = 160. 21. What is ..... the set of two or more linear inequalities involving the same variables x and y. A) Linear Function. B) System of Linear Inequalities. C) System of Equations. D) Boundary Line. Show Answer Correct Answer: B) System of Linear Inequalities. 22. Using the given system of linear equations, determine the number of possible solutions by observation. A) One Solution. B) No Solution. C) Infinite Solutions. D) None of the above. Show Answer Correct Answer: C) Infinite Solutions. 23. 6x + y =-13x + y =-4 A) (3, 1). B) (1, 7). C) (-3, 1). D) (1, -7). Show Answer Correct Answer: D) (1, -7). 24. Which of the following graph is passing through the origin A) Y=2x. B) Y=3x. C) Y = x. D) All of the above. Show Answer Correct Answer: C) Y = x. 25. (3, 2) is a solution of 5x-7y =k. find value of k A) 1. B) 2. C) 3. D) 4. 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