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
      )
      ,
      3
      )
    • and
    • (
      (
      3
      )
      ,
      2
      )
    • is
  • (i)
    (
    3
    x
    4
    y
    +
    30
    )
    =
    0
  • (ii)
    (
    4
    x
    y
    +
    14
    )
    =
    0
  • (iii)
    (
    x
    3
    y
    +
    3
    )
    =
    0
  • (iv)
    (
    2
    x
    3
    y
    +
    14
    )
    =
    0
Question 2
2.
The equation of x-axis is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    0
  • (iii)
    x
    =
    1
  • (iv)
    y
    =
    1
  • (v)
    y
    =
    x
Question 3
3.
The equation of y-axis is
  • (i)
    y
    =
    1
  • (ii)
    y
    =
    x
  • (iii)
    y
    =
    0
  • (iv)
    x
    =
    1
  • (v)
    x
    =
    0
Question 4
4.
Any line parallel to x-axis is
  • (i)
    an oblique line
  • (ii)
    a curved line
  • (iii)
    a horizontal line
  • (iv)
    a vertical 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)
    a vertical line
  • (iii)
    a horizontal line
  • (iv)
    an oblique line
Question 7
7.
Which of the following are true?
a)
    • Equation of the line passing through origin is y = x
b)
    • Equation of the line passing through origin is y = mx +
    • 3
c)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
d)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
  • (i)
    {a,d}
  • (ii)
    {b,d,a}
  • (iii)
    {b,a}
  • (iv)
    {c,d}
  • (v)
    {b,c,a}
Question 8
8.
Which of the following are true?
a)
The abscissa of every point on x-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The ordinate of every point on y-axis is zero
d)
The abscissa of every point on y-axis is zero
  • (i)
    {b,d}
  • (ii)
    {a,c,b}
  • (iii)
    {a,d,b}
  • (iv)
    {c,d}
  • (v)
    {a,b}
Question 9
9.
Which of the following are true?
a)
A vertical line other than y-axis has no x-intercept
b)
A vertical line other than y-axis has no y-intercept
c)
A horizontal line other than x-axis has no y-intercept
d)
A horizontal line other than x-axis has no x-intercept
  • (i)
    {a,d,b}
  • (ii)
    {a,b}
  • (iii)
    {c,d}
  • (iv)
    {b,d}
  • (v)
    {a,c,b}
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
    =
    k
  • (iii)
    x
    =
    y
  • (iv)
    y
    =
    k
  • (v)
    x
    =
    0
Question 11
11.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    y
    =
    k
  • (ii)
    y
    =
    0
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    y
  • (v)
    x
    =
    0
Question 12
12.
Find the equation of the displayed line
  • (i)
    4
    y
    =
    (
    7
    )
  • (ii)
    x
    =
    (
    7
    )
  • (iii)
    y
    =
    (
    7
    )
  • (iv)
    y
    =
    (
    8
    )
  • (v)
    y
    =
    (
    6
    )
Question 13
13.
Find the equation of the displayed line
  • (i)
    x
    =
    (
    5
    )
  • (ii)
    x
    =
    (
    3
    )
  • (iii)
    x
    =
    (
    4
    )
  • (iv)
    3
    x
    =
    (
    4
    )
  • (v)
    y
    =
    (
    4
    )
Question 14
14.
    • Find the equation of the line passing through the points
    • (
      1
      ,
      0
      )
    • and
    • (
      7
      ,
      (
      7
      )
      )
  • (i)
    (
    7
    x
    +
    6
    y
    13
    )
    =
    0
  • (ii)
    (
    7
    x
    +
    6
    y
    14
    )
    =
    0
  • (iii)
    (
    8
    x
    6
    y
    +
    7
    )
    =
    0
  • (iv)
    (
    6
    x
    6
    y
    +
    7
    )
    =
    0
  • (v)
    (
    7
    x
    6
    y
    +
    7
    )
    =
    0
Question 15
15.
The equation of the x-axis is
a)
    • x
      =
      y
b)
    • x
      =
      0
c)
    • y
      =
      1
d)
    • y
      =
      0
e)
    • x
      =
      1
  • (i)
    {a,d}
  • (ii)
    {d}
  • (iii)
    {b,d}
  • (iv)
    {c,e,d}
Question 16
16.
    • Find the set of points satisfying the equation
    • (
      16
      x
      +
      11
      y
      +
      45
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      (
      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      61

      11
      )
      )
    • ,
    • (
      0
      ,
      (
      45

      11
      )
      )
    • ,
    • (
      1
      ,
      (
      29

      11
      )
      )
    • ,
    • (
      4
      ,
      9

      11
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      61

      11
      )
      )
    • ,
    • (
      0
      ,
      (
      45

      11
      )
      )
    • ,
    • (
      0
      ,
      (
      18

      11
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      11
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      61

      11
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      67

      11
      )
      )
    • ,
    • (
      1
      ,
      (
      29

      11
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      11
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      61

      11
      )
      )
    • ,
    • (
      1
      ,
      (
      56

      11
      )
      )
    • ,
    • (
      1
      ,
      (
      29

      11
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      11
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      61

      11
      )
      )
    • ,
    • (
      0
      ,
      (
      45

      11
      )
      )
    • ,
    • (
      1
      ,
      (
      29

      11
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      11
      )
      )
Question 17
17.
    • Find the set of points satisfying the equation
    • y
      =
      (
      11

      3
      x
      +
      37

      3
      )
  • (i)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      3
      )
    • ,
    • (
      0
      ,
      37

      3
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      2
      ,
      59

      3
      )
  • (ii)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      3
      )
    • ,
    • (
      (
      2
      )
      ,
      31

      3
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      2
      ,
      59

      3
      )
  • (iii)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      3
      )
    • ,
    • (
      0
      ,
      37

      3
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      4
      ,
      65

      3
      )
  • (iv)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      3
      )
    • ,
    • (
      1
      ,
      34

      3
      )
    • ,
    • (
      1
      ,
      16
      )
    • ,
    • (
      2
      ,
      59

      3
      )
  • (v)
    • (
      (
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      1
      )
      ,
      26

      3
      )
    • ,
    • (
      0
      ,
      37

      3
      )
    • ,
    • (
      0
      ,
      17
      )
    • ,
    • (
      2
      ,
      59

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

      8
      y
      +
      11

      8
      )
  • (i)
    • (
      (
      2
      )
      ,
      27

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      19

      5
      )
    • ,
    • (
      0
      ,
      11

      5
      )
    • ,
    • (
      1
      ,
      3

      5
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      27

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      19

      5
      )
    • ,
    • (
      0
      ,
      11

      5
      )
    • ,
    • (
      0
      ,
      8

      5
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      27

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      19

      5
      )
    • ,
    • (
      (
      2
      )
      ,
      1

      5
      )
    • ,
    • (
      1
      ,
      3

      5
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      27

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      19

      5
      )
    • ,
    • (
      1
      ,
      6

      5
      )
    • ,
    • (
      1
      ,
      3

      5
      )
    • ,
    • (
      2
      ,
      (
      1
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      27

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      19

      5
      )
    • ,
    • (
      0
      ,
      11

      5
      )
    • ,
    • (
      1
      ,
      3

      5
      )
    • ,
    • (
      4
      ,
      1
      )
Question 19
19.
    • Find the set of points satisfying the equation
    • y
      =
      (
      3
      x
      )
  • (i)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      6
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      6
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      4
      ,
      (
      4
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      6
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      6
      )
      )
Question 20
20.
    • Find the set of points satisfying the equation
    • (
      4
      x
      +
      5
      y
      2
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      6

      5
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      8

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      2

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      6

      5
      )
    • ,
    • (
      0
      ,
      2

      5
      )
    • ,
    • (
      1
      ,
      (
      2

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      6

      5
      )
    • ,
    • (
      0
      ,
      2

      5
      )
    • ,
    • (
      1
      ,
      (
      2

      5
      )
      )
    • ,
    • (
      4
      ,
      4

      5
      )
  • (iv)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      6

      5
      )
    • ,
    • (
      1
      ,
      (
      3

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      2

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      6

      5
      )
    • ,
    • (
      0
      ,
      2

      5
      )
    • ,
    • (
      0
      ,
      3

      5
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
Question 21
21.
    • Find the set of points satisfying the equation
    • y
      =
      6
  • (i)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      6
      )
    • ,
    • (
      0
      ,
      6
      )
    • ,
    • (
      1
      ,
      6
      )
    • ,
    • (
      4
      ,
      8
      )
  • (ii)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      6
      )
    • ,
    • (
      0
      ,
      6
      )
    • ,
    • (
      0
      ,
      7
      )
    • ,
    • (
      2
      ,
      6
      )
  • (iii)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      6
      )
    • ,
    • (
      (
      2
      )
      ,
      4
      )
    • ,
    • (
      1
      ,
      6
      )
    • ,
    • (
      2
      ,
      6
      )
  • (iv)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      6
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      1
      ,
      6
      )
    • ,
    • (
      2
      ,
      6
      )
  • (v)
    • (
      (
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      1
      )
      ,
      6
      )
    • ,
    • (
      0
      ,
      6
      )
    • ,
    • (
      1
      ,
      6
      )
    • ,
    • (
      2
      ,
      6
      )
Question 22
22.
    • Find the set of points satisfying the equation
    • x
      =
      (
      1
      )
  • (i)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (ii)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      1
      ,
      4
      )
  • (iii)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (iv)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      3
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (v)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
Question 23
23.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        2

        3
        )
      • ,
      • (
        (
        1
        )
        ,
        1

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

        3
        )
        )
      • ,
      • (
        2
        ,
        (
        2

        3
        )
        )
    • ?
  • (i)
    x
    =
    (
    1

    3
    y
    1
    )
  • (ii)
    y
    =
    (
    3
    )
  • (iii)
    (
    4
    x
    12
    y
    )
    =
    0
  • (iv)
    x
    =
    (
    2
    )
  • (v)
    (
    4
    x
    +
    15
    y
    3
    )
    =
    0
Question 24
24.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        1

        5
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        9

        10
        )
        )
      • ,
      • (
        0
        ,
        (
        2
        )
        )
      • ,
      • (
        1
        ,
        (
        31

        10
        )
        )
      • ,
      • (
        2
        ,
        (
        21

        5
        )
        )
    • ?
  • (i)
    (
    2
    x
    +
    7
    y
    1
    )
    =
    0
  • (ii)
    x
    =
    0
  • (iii)
    y
    =
    (
    2
    )
  • (iv)
    (
    11
    x
    10
    y
    26
    )
    =
    0
  • (v)
    y
    =
    (
    11

    10
    x
    2
    )
Question 25
25.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        5

        2
        )
      • ,
      • (
        (
        1
        )
        ,
        13

        8
        )
      • ,
      • (
        0
        ,
        3

        4
        )
      • ,
      • (
        1
        ,
        (
        1

        8
        )
        )
      • ,
      • (
        2
        ,
        (
        1
        )
        )
    • ?
  • (i)
    (
    7
    x
    +
    8
    y
    6
    )
    =
    0
  • (ii)
    x
    =
    6
  • (iii)
    (
    14
    x
    9
    y
    35
    )
    =
    0
  • (iv)
    y
    =
    (
    14

    9
    x
    +
    19

    3
    )
  • (v)
    x
    =
    (
    14

    9
    y
    +
    32

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

    13
    y
    +
    23

    13
    )
  • (iv)
    y
    =
    (
    14

    13
    x
    +
    109

    13
    )
  • (v)
    x
    =
    5
Question 27
27.
    • Which of the following equations satisfy the given points
      • (
        5
        ,
        (
        2
        )
        )
      • ,
      • (
        5
        ,
        (
        1
        )
        )
      • ,
      • (
        5
        ,
        0
        )
      • ,
      • (
        5
        ,
        1
        )
      • ,
      • (
        5
        ,
        2
        )
    • ?
  • (i)
    (
    7
    x
    11
    y
    +
    45
    )
    =
    0
  • (ii)
    y
    =
    (
    7

    11
    x
    +
    101

    11
    )
  • (iii)
    x
    =
    5
  • (iv)
    y
    =
    6
  • (v)
    x
    =
    (
    7

    11
    y
    +
    13

    11
    )
Question 28
28.
    • Which of the displayed lines represent the equation
    • (
      4
      x
      3
      y
      +
      1
      )
      =
      0
    • ?
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • N
  • (iii)
      • line with point
      • P
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • O
Question 29
29.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      1
      )
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • V
  • (iv)
      • line with point
      • X
  • (v)
      • line with point
      • W
Question 30
30.
    • Which of the displayed lines represent the equation
    • x
      =
      4
  • (i)
      • line with point
      • X
  • (ii)
      • line with point
      • W
  • (iii)
      • line with point
      • V
  • (iv)
      • line with point
      • U
  • (v)
      • line with point
      • T
Question 31
31.
    • Which of the displayed lines represent the equation
    • y
      =
      x
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • O
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • Q
  • (v)
      • line with point
      • P
Question 32
32.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      9

      5
      x
      )
  • (i)
      • line with point
      • N
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • O
    Assignment Key

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