Linear Equations In Two Variables

15 Questions | Total Attempts: 2883

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Linear Equations In Two Variables

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Questions and Answers
  • 1. 
    The linear equation 4x – 10y = 14 has: 
    • A. 

      A unique solution

    • B. 

      Two solutions

    • C. 

      Infinitely many solutions

    • D. 

      No solutions

  • 2. 
    The equation 2x – 3y = 5 has a unique solution, if x, y are:
    • A. 

      Natural numbers

    • B. 

      Positive real numbers

    • C. 

      Real numbers

    • D. 

      Rational numbers

  • 3. 
    If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:
    • A. 

      4

    • B. 

      6

    • C. 

      5

    • D. 

      2

  • 4. 
    The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
    • A. 

      (2, 0)

    • B. 

      (0, 3)

    • C. 

      (3, 0)

    • D. 

      (0, 2)

  • 5. 
    The equation y = 5, in two variables, can be written as:
    • A. 

      1 . x + 1 . y = 5

    • B. 

      0 . x + 0 . y = 5

    • C. 

      1 . x + 0 . y = 5

    • D. 

      0 . x + 1 . y = 5

  • 6. 
    Any point on the line y = x is of the form:
    • A. 

      (a, –a)

    • B. 

      (0, a)

    • C. 

      (a, 0)

    • D. 

      (a, a)

  • 7. 
    The graph of x = 5 is a line:
    • A. 

      Parallel to x-axis at a distance 5 units from the origin

    • B. 

      Parallel to y-axis at a distance 5 units from the origin

    • C. 

      Making an intercept 5 on the x-axis

    • D. 

      Making an intercept 5 on the y-axis

  • 8. 
    x = 9, y = 4 is a solution of the linear equation:
    • A. 

      2x + y = 17

    • B. 

      X + y = 17

    • C. 

      X + 2y = 17

    • D. 

      3x – 2y = 17

  • 9. 
    Any point on the x-axis is of the form:
    • A. 

      (0, y)

    • B. 

      (x, 0)

    • C. 

      (x, x)

    • D. 

      (x, y)

  • 10. 
    If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
    • A. 

      Y – x = 0

    • B. 

      X + y = 0

    • C. 

      –2x + y = 0

    • D. 

      –x + 2y = 0

  • 11. 
    The positive solutions of the equation ax + by + c = 0 always lie in the:
    • A. 

      Ist quadrant

    • B. 

      2nd quadrant

    • C. 

      3rd quadrant

    • D. 

      4th quadrant

  • 12. 
    The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
    • A. 

      (0, 3)

    • B. 

      (3, 0)

    • C. 

      (2, 0)

    • D. 

      (0, 2)

  • 13. 
    The point of the form (a, –a) always lies on the line:
    • A. 

      X = a

    • B. 

      Y = –a

    • C. 

      Y = x

    • D. 

      X + y = 0

  • 14. 
    The graph of x = 9 is a straight line:
    • A. 

      Intersecting both the axes

    • B. 

      Parallel to y-axis

    • C. 

      Parallel to x-axis

    • D. 

      Passing through the origin

  • 15. 
    Equation of the line parallel to x-axis and 6 units above the origin is:
    • A. 

      X = 6

    • B. 

      X = –6

    • C. 

      Y = 6

    • D. 

      Y = –6