Chapter 4: Linear Equations in Two Variables — Online MCQ Test
MATHS · CLASS 9th · Karnataka State Board
Practice Chapter 4: Linear Equations in Two Variables with a free chapter-wise online MCQ test.
This chapter covers: This chapter details linear equations solutions representation and finding solutions for linear equations in two variables..
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Chapter 4: Linear Equations in Two Variables — Important Questions & Answers
Which of the following is a linear equation in two variables?
- A. x + y = 7
- B. x^2 + y = 7
- C. xy = 7
- D. x + y^2 = 7
Answer: A. x + y = 7
A linear equation in two variables has variables only to the first power and no product of variables. Here, x + y = 7 satisfies this condition.
A linear equation in two variables has variables only to the first power and no product of variables. Here, x + y = 7 satisfies this condition.
What is the graph of a linear equation in two variables?
- A. A circle
- B. A straight line
- C. A parabola
- D. A rectangle
Answer: B. A straight line
Every linear equation in two variables represents a straight line on the Cartesian plane.
Every linear equation in two variables represents a straight line on the Cartesian plane.
Which of the following is NOT a solution of the equation x + y = 5?
- A. (2, 3)
- B. (4, 1)
- C. (0, 5)
- D. (3, 1)
Answer: D. (3, 1)
For (3, 1), x + y = 3 + 1 = 4, which does not equal 5. So it is not a solution.
For (3, 1), x + y = 3 + 1 = 4, which does not equal 5. So it is not a solution.
Which ordered pair satisfies both equations x + y = 6 and x - y = 2?
- A. (2, 4)
- B. (3, 3)
- C. (4, 2)
- D. (5, 1)
Answer: C. (4, 2)
For (4, 2), x + y = 4 + 2 = 6 and x - y = 4 - 2 = 2, so it satisfies both equations.
For (4, 2), x + y = 4 + 2 = 6 and x - y = 4 - 2 = 2, so it satisfies both equations.
If three points lie on the graph of a linear equation in two variables, then:
- A. All three points must be different equations
- B. Any two points determine the equation uniquely
- C. Only one point can be a solution
- D. The graph must be a curve
Answer: B. Any two points determine the equation uniquely
A unique straight line is determined by any two distinct points, and if the third point also lies on it, it satisfies the same linear equation.
A unique straight line is determined by any two distinct points, and if the third point also lies on it, it satisfies the same linear equation.