EduSahara™ Assignment
Name : Line Equations & Satisfying Points
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
    • The equation of the line passing through the points
    • (
      6
      ,
      6
      )
    • and
    • (
      (
      7
      )
      ,
      (
      3
      )
      )
    • is
  • (i)
    (
    6
    x
    +
    4
    y
    +
    12
    )
    =
    0
  • (ii)
    (
    3
    x
    9
    y
    6
    )
    =
    0
  • (iii)
    (
    9
    x
    +
    13
    y
    24
    )
    =
    0
  • (iv)
    (
    7
    x
    +
    10
    y
    14
    )
    =
    0
Question 2
2.
The equation of x-axis is
  • (i)
    x
    =
    0
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    1
  • (iv)
    y
    =
    x
  • (v)
    y
    =
    0
Question 3
3.
The equation of y-axis is
  • (i)
    y
    =
    1
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    0
  • (iv)
    y
    =
    x
  • (v)
    x
    =
    0
Question 4
4.
Any line parallel to x-axis is
  • (i)
    a vertical line
  • (ii)
    an oblique line
  • (iii)
    a horizontal line
  • (iv)
    a curved line
Question 5
5.
Any line parallel to y-axis is
  • (i)
    a vertical line
  • (ii)
    a curved line
  • (iii)
    a horizontal line
  • (iv)
    an oblique line
Question 6
6.
A line which is neither parallel to x-axis nor y-axis is
  • (i)
    a curved line
  • (ii)
    an oblique line
  • (iii)
    a horizontal line
  • (iv)
    a vertical line
Question 7
7.
Which of the following are true?
a)
    • Equation of the line passing through origin is y = mx +
    • 7
b)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
c)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
d)
    • Equation of the line passing through origin is y = x
  • (i)
    {a,c,b}
  • (ii)
    {b,d}
  • (iii)
    {a,b}
  • (iv)
    {a,d,b}
  • (v)
    {c,d}
Question 8
8.
Which of the following are true?
a)
The ordinate of every point on x-axis is zero
b)
The abscissa of every point on x-axis is zero
c)
The abscissa of every point on y-axis is zero
d)
The ordinate of every point on y-axis is zero
  • (i)
    {b,a}
  • (ii)
    {b,d,a}
  • (iii)
    {d,c}
  • (iv)
    {b,c,a}
  • (v)
    {a,c}
Question 9
9.
Which of the following are true?
a)
A vertical line other than y-axis has no x-intercept
b)
A horizontal line other than x-axis has no x-intercept
c)
A vertical line other than y-axis has no y-intercept
d)
A horizontal line other than x-axis has no y-intercept
  • (i)
    {d,c}
  • (ii)
    {a,c,b}
  • (iii)
    {a,b}
  • (iv)
    {a,d,b}
  • (v)
    {b,c}
Question 10
10.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    y
    =
    0
  • (ii)
    x
    =
    0
  • (iii)
    x
    =
    y
  • (iv)
    x
    =
    k
  • (v)
    y
    =
    k
Question 11
11.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    y
    =
    0
  • (ii)
    x
    =
    y
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    k
Question 12
12.
Find the equation of the displayed line
  • (i)
    y
    =
    (
    1
    )
  • (ii)
    x
    =
    (
    1
    )
  • (iii)
    y
    =
    (
    2
    )
  • (iv)
    4
    y
    =
    (
    1
    )
  • (v)
    y
    =
    0
Question 13
13.
Find the equation of the displayed line
  • (i)
    x
    =
    (
    4
    )
  • (ii)
    3
    x
    =
    (
    3
    )
  • (iii)
    x
    =
    (
    2
    )
  • (iv)
    y
    =
    (
    3
    )
  • (v)
    x
    =
    (
    3
    )
Question 14
14.
    • Find the equation of the line passing through the points
    • (
      (
      5
      )
      ,
      6
      )
    • and
    • (
      (
      8
      )
      ,
      (
      5
      )
      )
  • (i)
    (
    10
    x
    +
    3
    y
    73
    )
    =
    0
  • (ii)
    (
    11
    x
    +
    3
    y
    76
    )
    =
    0
  • (iii)
    (
    11
    x
    +
    3
    y
    73
    )
    =
    0
  • (iv)
    (
    12
    x
    +
    3
    y
    73
    )
    =
    0
  • (v)
    (
    11
    x
    +
    3
    y
    62
    )
    =
    0
Question 15
15.
The equation of the x-axis is
a)
    • x
      =
      1
b)
    • x
      =
      y
c)
    • y
      =
      1
d)
    • y
      =
      0
e)
    • x
      =
      0
  • (i)
    {a,d}
  • (ii)
    {d}
  • (iii)
    {b,d}
  • (iv)
    {c,e,d}
Question 16
16.
    • Find the set of points satisfying the equation
    • (
      6
      x
      y
      25
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      (
      13
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      19
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      27
      )
      )
    • ,
    • (
      1
      ,
      (
      31
      )
      )
    • ,
    • (
      2
      ,
      (
      37
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      13
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      19
      )
      )
    • ,
    • (
      1
      ,
      (
      26
      )
      )
    • ,
    • (
      1
      ,
      (
      31
      )
      )
    • ,
    • (
      2
      ,
      (
      37
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      13
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      19
      )
      )
    • ,
    • (
      0
      ,
      (
      25
      )
      )
    • ,
    • (
      1
      ,
      (
      31
      )
      )
    • ,
    • (
      4
      ,
      (
      35
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      13
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      19
      )
      )
    • ,
    • (
      0
      ,
      (
      25
      )
      )
    • ,
    • (
      0
      ,
      (
      30
      )
      )
    • ,
    • (
      2
      ,
      (
      37
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      13
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      19
      )
      )
    • ,
    • (
      0
      ,
      (
      25
      )
      )
    • ,
    • (
      1
      ,
      (
      31
      )
      )
    • ,
    • (
      2
      ,
      (
      37
      )
      )
Question 17
17.
    • Find the set of points satisfying the equation
    • y
      =
      (
      12

      5
      x
      51

      5
      )
  • (i)
    • (
      (
      2
      )
      ,
      (
      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      63

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      56

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      39

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      27

      5
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      63

      5
      )
      )
    • ,
    • (
      0
      ,
      (
      51

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      39

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      27

      5
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      63

      5
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      61

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      39

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      27

      5
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      63

      5
      )
      )
    • ,
    • (
      0
      ,
      (
      51

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      39

      5
      )
      )
    • ,
    • (
      4
      ,
      (
      17

      5
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      63

      5
      )
      )
    • ,
    • (
      0
      ,
      (
      51

      5
      )
      )
    • ,
    • (
      0
      ,
      (
      34

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      27

      5
      )
      )
Question 18
18.
    • Find the set of points satisfying the equation
    • x
      =
      (
      3

      7
      y
      +
      1
      )
  • (i)
    • (
      (
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      1
      )
      ,
      14

      3
      )
    • ,
    • (
      1
      ,
      4

      3
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      2
      ,
      (
      7

      3
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      1
      )
      ,
      14

      3
      )
    • ,
    • (
      0
      ,
      7

      3
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      4
      ,
      (
      1

      3
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      1
      )
      ,
      14

      3
      )
    • ,
    • (
      0
      ,
      7

      3
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      2
      ,
      (
      7

      3
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      1
      )
      ,
      14

      3
      )
    • ,
    • (
      (
      2
      )
      ,
      1

      3
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      2
      ,
      (
      7

      3
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      1
      )
      ,
      14

      3
      )
    • ,
    • (
      0
      ,
      7

      3
      )
    • ,
    • (
      0
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      7

      3
      )
      )
Question 19
19.
    • Find the set of points satisfying the equation
    • y
      =
      16
      x
  • (i)
    • (
      (
      2
      )
      ,
      (
      32
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      16
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      2
      ,
      32
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      32
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      16
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      17
      )
    • ,
    • (
      2
      ,
      32
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      32
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      16
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      4
      ,
      34
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      32
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      16
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      2
      ,
      32
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      32
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      16
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      2
      ,
      32
      )
Question 20
20.
    • Find the set of points satisfying the equation
    • (
      3
      x
      +
      4
      y
      2
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      4
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      0
      ,
      3

      4
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      4
      )
    • ,
    • (
      1
      ,
      (
      1

      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      4
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      3

      2
      )
      )
    • ,
    • (
      1
      ,
      (
      1

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      4
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      1
      ,
      (
      1

      4
      )
      )
    • ,
    • (
      4
      ,
      1
      )
  • (v)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      5

      4
      )
    • ,
    • (
      0
      ,
      1

      2
      )
    • ,
    • (
      1
      ,
      (
      1

      4
      )
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
Question 21
21.
    • Find the set of points satisfying the equation
    • y
      =
      5
  • (i)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      5
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      2
      ,
      5
      )
  • (ii)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      5
      )
    • ,
    • (
      1
      ,
      4
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      2
      ,
      5
      )
  • (iii)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      5
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      0
      ,
      6
      )
    • ,
    • (
      2
      ,
      5
      )
  • (iv)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      5
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      4
      ,
      7
      )
  • (v)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      2
      )
      ,
      3
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      2
      ,
      5
      )
Question 22
22.
    • Find the set of points satisfying the equation
    • x
      =
      4
  • (i)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      6
      ,
      4
      )
  • (ii)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      4
      ,
      2
      )
  • (iii)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      5
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      4
      ,
      2
      )
  • (iv)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • ,
    • (
      3
      ,
      2
      )
    • ,
    • (
      4
      ,
      2
      )
  • (v)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      4
      ,
      2
      )
Question 23
23.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        5
        )
      • ,
      • (
        (
        1
        )
        ,
        48

        11
        )
      • ,
      • (
        0
        ,
        41

        11
        )
      • ,
      • (
        1
        ,
        34

        11
        )
      • ,
      • (
        2
        ,
        27

        11
        )
    • ?
  • (i)
    x
    =
    (
    2
    )
  • (ii)
    y
    =
    (
    7

    11
    x
    25

    11
    )
  • (iii)
    (
    5
    x
    +
    8
    y
    2
    )
    =
    0
  • (iv)
    (
    7
    x
    11
    y
    +
    41
    )
    =
    0
  • (v)
    x
    =
    (
    7

    11
    y
    15

    11
    )
Question 24
24.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        54

        7
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        121

        14
        )
        )
      • ,
      • (
        0
        ,
        (
        67

        7
        )
        )
      • ,
      • (
        1
        ,
        (
        21

        2
        )
        )
      • ,
      • (
        2
        ,
        (
        80

        7
        )
        )
    • ?
  • (i)
    y
    =
    (
    13

    14
    x
    67

    7
    )
  • (ii)
    y
    =
    (
    4
    )
  • (iii)
    x
    =
    (
    13

    14
    y
    16

    7
    )
  • (iv)
    x
    =
    (
    6
    )
  • (v)
    (
    13
    x
    14
    y
    +
    19
    )
    =
    0
Question 25
25.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        40

        21
        )
      • ,
      • (
        (
        1
        )
        ,
        26

        21
        )
      • ,
      • (
        0
        ,
        4

        7
        )
      • ,
      • (
        1
        ,
        (
        2

        21
        )
        )
      • ,
      • (
        2
        ,
        (
        16

        21
        )
        )
    • ?
  • (i)
    (
    9
    x
    3
    y
    6
    )
    =
    0
  • (ii)
    x
    =
    (
    3
    y
    23
    )
  • (iii)
    y
    =
    8
  • (iv)
    y
    =
    (
    3
    x
    +
    11
    )
  • (v)
    (
    14
    x
    +
    21
    y
    12
    )
    =
    0
Question 26
26.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        7
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        7
        )
        )
      • ,
      • (
        0
        ,
        (
        7
        )
        )
      • ,
      • (
        1
        ,
        (
        7
        )
        )
      • ,
      • (
        2
        ,
        (
        7
        )
        )
    • ?
  • (i)
    x
    =
    (
    3

    13
    y
    18

    13
    )
  • (ii)
    x
    =
    (
    3
    )
  • (iii)
    (
    3
    x
    13
    y
    5
    )
    =
    0
  • (iv)
    y
    =
    (
    7
    )
  • (v)
    (
    7
    x
    +
    3
    y
    1
    )
    =
    0
Question 27
27.
    • Which of the following equations satisfy the given points
      • (
        1
        ,
        (
        2
        )
        )
      • ,
      • (
        1
        ,
        (
        1
        )
        )
      • ,
      • (
        1
        ,
        0
        )
      • ,
      • (
        1
        ,
        1
        )
      • ,
      • (
        1
        ,
        2
        )
    • ?
  • (i)
    x
    =
    1
  • (ii)
    x
    =
    (
    14

    9
    y
    +
    65

    9
    )
  • (iii)
    y
    =
    (
    14

    9
    x
    22

    9
    )
  • (iv)
    (
    4
    x
    +
    3
    y
    2
    )
    =
    0
  • (v)
    y
    =
    (
    4
    )
Question 28
28.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      4
      y
      13
      )
      =
      0
    • ?
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • O
  • (v)
      • line with point
      • Q
Question 29
29.
    • Which of the displayed lines represent the equation
    • y
      =
      7
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • U
  • (iii)
      • line with point
      • W
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • T
Question 30
30.
    • Which of the displayed lines represent the equation
    • x
      =
      5
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • O
  • (iii)
      • line with point
      • N
  • (iv)
      • line with point
      • M
  • (v)
      • line with point
      • P
Question 31
31.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      3

      5
      x
      16

      5
      )
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • U
  • (v)
      • line with point
      • R
Question 32
32.
    • Which of the displayed lines represent the equation
    • y
      =
      1

      3
      x
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • S
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • P
  • (v)
      • line with point
      • T
    Assignment Key

  •  1) (iii)
  •  2) (v)
  •  3) (v)
  •  4) (iii)
  •  5) (i)
  •  6) (ii)
  •  7) (ii)
  •  8) (v)
  •  9) (v)
  •  10) (v)
  •  11) (iii)
  •  12) (i)
  •  13) (v)
  •  14) (iii)
  •  15) (ii)
  •  16) (v)
  •  17) (ii)
  •  18) (iii)
  •  19) (v)
  •  20) (v)
  •  21) (i)
  •  22) (v)
  •  23) (iv)
  •  24) (i)
  •  25) (v)
  •  26) (iv)
  •  27) (i)
  •  28) (iv)
  •  29) (i)
  •  30) (iv)
  •  31) (iii)
  •  32) (iv)