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Linear Equations in Two Variables Test - 8

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Linear Equations in Two Variables Test - 8
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Which of the following points does not lie on the graph of the linear equation x – 4y = 0?

    Solution

    The given equation is x – 4y = 0, and the point (1, 1) doesn't lie on it because
    1 – 4 × 1 = 0
    – 3 ≠ 0

     

  • Question 2
    1 / -0

    Which of the following points lies on the graph of the linear equation 14x – 28 = 0?

    Solution

    The given equation is 14x – 28 = 0 and one of its solutions is (2, 0).
    14 × 2 – 28 = 0
    0 = 0

     

  • Question 3
    1 / -0

    Which of the following points lies on the graph of the linear equation x = 3?

    Solution

    The graph of the equation x = 3 is a line parallel to y-axis.
    Therefore, point (3, 0) lies on it.

     

  • Question 4
    1 / -0

    Which of the following ordered pairs represents a solution for the linear equation 3x + 4y = – 6?

    Solution

    The given equation is 3x + 4y = – 6 and the solution is (2, – 3).
    3 × 2 + 4 x (– 3) = – 6
    6 – 12 = – 6
    – 6 = – 6

     

  • Question 5
    1 / -0

    Which of the following pairs of points lies on the graph of the linear equation x – 2y = 4?

    Solution

    x – 2y = 4 x = 0 and y = – 2 0 + 4 = 4

     

  • Question 6
    1 / -0

    Which of the following points does not lie on the graph of the linear equation 5x = 10?

    Solution

    The given linear equation is 5x = 10, and the point is (1, 2).
    The graph of 5x = 10 or x = 2 is a line parallel to y-axis.
    In the point (1, 2), x = 1 and y = 2.
    Hence, this point does not lie on the graph of linear equation 5x = 10.

     

  • Question 7
    1 / -0

    Which of the following equations has its solution as (3, -4)?

    Solution

    The solution (3, -4) can satisfy the equation 11x + 15y = -27.
    As 11 × 3 + 15 × -4 = -27,
    33 – 60 = -27
    -27 = -27
    So, the equation 11x + 15y = -27 has its solution as (3, -4).

     

  • Question 8
    1 / -0

    Which of the following points does not lie on the graph of the linear equation 2x = 4?

    Solution

    The graph of the linear equation 2x = 4 is a line parallel to y-axis at x = 2.
    In the solution (– 1, 2), the value of x = – 1.
    Hence, (– 1, 2) does not lie on the graph of equation 2x = 4.

     

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