EduSahara™ Assignment
Name : Linear Equations Miscellaneous
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following is a linear equation in two variable?
  • (i)
    (
    −
    3
    x
    −
    7
    y
    +
    9
    )
    =
    0
  • (ii)
    (
    −
    2
    x
    +
    4
    )
    =
    0
  • (iii)
    (
    21
    x
    2
     
    −
    84
    x
    y
    +
    36
    x
    +
    63
    y
    2
     
    −
    24
    y
    −
    12
    )
    =
    0
  • (iv)
    (
    −
    9
    x
    +
    6
    y
    +
    4
    z
    −
    5
    )
    =
    0
  • (v)
    (
    54
    x
    2
     
    −
    72
    x
    +
    18
    )
    =
    0
Question 2
2.
Which of the following is a linear equation in two variable?
  • (i)
    (
    −
    48
    x
    2
     
    +
    82
    x
    y
    +
    4
    x
    −
    35
    y
    2
     
    −
    2
    y
    +
    24
    )
    =
    0
  • (ii)
    (
    32
    x
    2
     
    +
    36
    x
    +
    9
    )
    =
    (
    7
    x
    −
    9
    )
  • (iii)
    (
    9
    x
    −
    4
    )
    =
    (
    −
    4
    x
    )
  • (iv)
    (
    −
    6
    x
    +
    8
    y
    +
    2
    z
    −
    8
    )
    =
    (
    −
    7
    x
    −
    y
    +
    4
    z
    +
    9
    )
  • (v)
    (
    −
    4
    x
    −
    4
    y
    −
    1
    )
    =
    (
    6
    x
    +
    8
    y
    )
Question 3
3.
    • The linear equation
    • (
      −
      2
      x
      −
      7
      y
      −
      2
      )
      =
      (
      −
      3
      x
      −
      4
      y
      +
      6
      )
    • is equivalent to
  • (i)
    (
    x
    −
    3
    y
    −
    8
    )
    =
    0
  • (ii)
    (
    −
    2
    x
    −
    7
    y
    −
    2
    )
    =
    (
    −
    3
    x
    −
    2
    y
    +
    6
    )
  • (iii)
    (
    2
    x
    −
    3
    y
    −
    8
    )
    =
    0
  • (iv)
    (
    −
    2
    x
    −
    7
    y
    −
    2
    )
    =
    (
    −
    3
    x
    −
    6
    y
    +
    6
    )
  • (v)
    (
    −
    3
    y
    −
    8
    )
    =
    0
Question 4
4.
    • The value of
    • x
    • in terms of other variables and constant in
    • (
      −
      6
      x
      −
      3
      y
      −
      9
      )
      =
      (
      −
      7
      x
      +
      5
      y
      −
      7
      )
    • is
  • (i)
    x
    =
    (
    7
    y
    +
    2
    )
  • (ii)
    x
    =
    (
    8
    y
    +
    5
    )
  • (iii)
    x
    =
    (
    9
    y
    +
    2
    )
  • (iv)
    x
    =
    8
    y
  • (v)
    x
    =
    (
    8
    y
    +
    2
    )
Question 5
5.
    • The value of
    • y
    • in terms of other variables and constant in
    • (
      4
      x
      +
      6
      y
      +
      8
      )
      =
      (
      8
      x
      +
      4
      y
      −
      8
      )
    • is
  • (i)
    y
    =
    (
    3
    x
    −
    8
    )
  • (ii)
    y
    =
    (
    2
    x
    −
    8
    )
  • (iii)
    y
    =
    (
    2
    x
    −
    5
    )
  • (iv)
    y
    =
    (
    2
    x
    −
    11
    )
  • (v)
    y
    =
    (
    x
    −
    8
    )
Question 6
6.
    • Which of the following lines do not pass through the origin?
  • (i)
    (
    −
    8
    x
    +
    8
    y
    )
    =
    0
  • (ii)
    (
    −
    2
    x
    −
    2
    y
    )
    =
    0
  • (iii)
    (
    3
    x
    +
    7
    y
    +
    80
    )
    =
    0
  • (iv)
    (
    4
    x
    +
    y
    )
    =
    0
  • (v)
    (
    x
    −
    6
    y
    )
    =
    0
Question 7
7.
    • The equation of the line passing through
    • the origin and
    • having a slope
    • m
    • ≠
    • 0 is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    m
    x
    +
    c
  • (iii)
    y
    =
    m
    x
  • (iv)
    y
    =
    0
  • (v)
    x
    =
    m
    y
    +
    c
Question 8
8.
    • The equation of the line with slope
    • m
    • ≠
    • 0 and y-intercept
    • c
    • ≠
    • 0 is
  • (i)
    y
    =
    m
    x
  • (ii)
    x
    =
    m
    y
    +
    c
  • (iii)
    y
    =
    m
    x
    +
    c
  • (iv)
    y
    =
    0
  • (v)
    x
    =
    0
Question 9
9.
    • The coordinates of the origin are
  • (i)
    (
    0
    ,
    8
    )
  • (ii)
    (
    1
    ,
    0
    )
  • (iii)
    (
    0
    ,
    0
    )
  • (iv)
    (
    9
    ,
    0
    )
  • (v)
    (
    1
    ,
    1
    )
Question 10
10.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    1
    ,
    0
    )
  • (ii)
    (
    0
    ,
    6
    )
  • (iii)
    (
    0
    ,
    0
    )
  • (iv)
    (
    1
    ,
    1
    )
  • (v)
    (
    2
    ,
    0
    )
Question 11
11.
    • Write the given equation
    • (
      −
      12
      x
      +
      7
      y
      −
      16
      )
      =
      0
    • in
    • y
      =
      m
      x
      +
      c
    • form
  • (i)
    y
    =
    (
    12

    7
    x
    +
    16

    7
    )
  • (ii)
    y
    =
    (
    2
    x
    +
    16

    7
    )
  • (iii)
    y
    =
    (
    14

    9
    x
    +
    16

    7
    )
  • (iv)
    y
    =
    (
    12

    7
    x
    +
    18

    7
    )
  • (v)
    y
    =
    (
    12

    7
    x
    +
    2
    )
Question 12
12.
    • Write the given equation
    • y
      =
      (
      −
      2

      5
      x
      −
      44

      5
      )
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (i)
    (
    2

    3
    x
    +
    y
    +
    44

    5
    )
    =
    0
  • (ii)
    (
    2

    5
    x
    +
    y
    +
    44

    5
    )
    =
    0
  • (iii)
    (
    2

    5
    x
    +
    3
    y
    +
    44

    5
    )
    =
    0
  • (iv)
    (
    2

    5
    x
    −
    2
    y
    +
    44

    5
    )
    =
    0
  • (v)
    (
    2

    7
    x
    +
    y
    +
    44

    5
    )
    =
    0
    Assignment Key

  •  1) (i)
  •  2) (v)
  •  3) (i)
  •  4) (v)
  •  5) (ii)
  •  6) (iii)
  •  7) (iii)
  •  8) (iii)
  •  9) (iii)
  •  10) (iii)
  •  11) (i)
  •  12) (ii)