EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Determine the quadrant of the displayed point
  • (i)
    third quadrant
  • (ii)
    first quadrant
  • (iii)
    second quadrant
  • (iv)
    fourth quadrant
Question 2
2.
    • The point
    • (
      2
      ,
      (
      5
      )
      )
    • lies in
  • (i)
    fourth quadrant
  • (ii)
    second quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 3
3.
Identify the point belonging to the first quadrant
  • (i)
    (
    7
    ,
    (
    3
    )
    )
  • (ii)
    (
    (
    8
    )
    ,
    (
    3
    )
    )
  • (iii)
    (
    4
    ,
    2
    )
  • (iv)
    (
    (
    1
    )
    ,
    8
    )
Question 4
4.
Distance of the given point from x-axis is
  • (i)
    64
  • (ii)
    0
  • (iii)
    16
  • (iv)
    8
Question 5
5.
Find the equation of the displayed line
  • (i)
    4
    x
    =
    8
  • (ii)
    x
    =
    7
  • (iii)
    x
    =
    9
  • (iv)
    x
    =
    8
  • (v)
    y
    =
    8
Question 6
6.
Which of the points (9,8), (-1,1), (-7,-7) and (9,-1) belong to the first quadrant?
  • (i)
    (
    (
    1
    )
    ,
    1
    )
  • (ii)
    (
    9
    ,
    8
    )
  • (iii)
    (
    9
    ,
    (
    1
    )
    )
  • (iv)
    (
    (
    7
    )
    ,
    (
    7
    )
    )
Question 7
7.
    • The coordinates of the origin are
  • (i)
    (
    0
    ,
    0
    )
  • (ii)
    (
    1
    ,
    1
    )
  • (iii)
    (
    1
    ,
    0
    )
  • (iv)
    (
    0
    ,
    6
    )
Question 8
8.
Which of the points (3,1), (-8,2), (-1,-5) and (1,-3) belong to the second quadrant?
  • (i)
    (
    3
    ,
    1
    )
  • (ii)
    (
    (
    1
    )
    ,
    (
    5
    )
    )
  • (iii)
    (
    1
    ,
    (
    3
    )
    )
  • (iv)
    (
    (
    8
    )
    ,
    2
    )
Question 9
9.
A point lies on negative side of y-axis at a distance of 6 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    6
    ,
    0
    )
  • (ii)
    (
    (
    6
    )
    ,
    0
    )
  • (iii)
    (
    0
    ,
    (
    6
    )
    )
  • (iv)
    (
    0
    ,
    6
    )
Question 10
10.
Determine the coordinates of point H in the diagram.
  • (i)
    (
    (
    7
    )
    ,
    5
    )
  • (ii)
    (
    5
    ,
    (
    7
    )
    )
  • (iii)
    (
    (
    5
    )
    ,
    7
    )
  • (iv)
    (
    (
    5
    )
    ,
    (
    7
    )
    )
  • (v)
    (
    5
    ,
    7
    )
Question 11
11.
    • Find the set of points satisfying the equation
    • y
      =
      (
      x
      4
      )
  • (i)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      4
      ,
      0
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      2
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      2
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5
      )
      )
    • ,
    • (
      0
      ,
      (
      4
      )
      )
    • ,
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      2
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      2
      )
      )
Question 12
12.
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 y-intercept
c)
A vertical line other than y-axis has no y-intercept
d)
A horizontal line other than x-axis has no x-intercept
  • (i)
    {b,d}
  • (ii)
    {a,d,c}
  • (iii)
    {a,c}
  • (iv)
    {c,d}
  • (v)
    {a,b,c}
Question 13
13.
Which of the following is a point on the positive y-axis?
  • (i)
    (
    0
    ,
    (
    6
    )
    )
  • (ii)
    (
    0
    ,
    6
    )
  • (iii)
    (
    (
    5
    )
    ,
    7
    )
  • (iv)
    (
    (
    6
    )
    ,
    0
    )
  • (v)
    (
    7
    ,
    0
    )
Question 14
14.
Determine the quadrant of the displayed point
  • (i)
    second quadrant
  • (ii)
    first quadrant
  • (iii)
    fourth quadrant
  • (iv)
    third quadrant
Question 15
15.
    • Which of the displayed lines represent the equation
    • x
      =
      6
  • (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
Question 16
16.
    • Find the set of points satisfying the equation
    • y
      =
      (
      3
      )
  • (i)
    • (
      (
      2
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      3
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
Question 17
17.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    6
    ,
    9
    )
  • (ii)
    (
    3
    ,
    (
    3
    )
    )
  • (iii)
    (
    (
    8
    )
    ,
    2
    )
  • (iv)
    (
    (
    3
    )
    ,
    (
    9
    )
    )
Question 18
18.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        6
        )
      • ,
      • (
        (
        1
        )
        ,
        10

        3
        )
      • ,
      • (
        0
        ,
        2

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

        3
        )
        )
    • ?
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    (
    17

    11
    x
    +
    119

    11
    )
  • (iii)
    x
    =
    (
    17

    11
    y
    +
    7
    )
  • (iv)
    (
    8
    x
    +
    3
    y
    2
    )
    =
    0
  • (v)
    x
    =
    7
Question 19
19.
Distance of the given point from y-axis is
  • (i)
    1
  • (ii)
    9
  • (iii)
    4
  • (iv)
    20
  • (v)
    5
Question 20
20.
    • Which of the following equations satisfy the given points
      • (
        8
        ,
        (
        2
        )
        )
      • ,
      • (
        8
        ,
        (
        1
        )
        )
      • ,
      • (
        8
        ,
        0
        )
      • ,
      • (
        8
        ,
        1
        )
      • ,
      • (
        8
        ,
        2
        )
    • ?
  • (i)
    y
    =
    (
    9
    )
  • (ii)
    (
    14
    x
    12
    y
    +
    26
    )
    =
    0
  • (iii)
    x
    =
    (
    7

    6
    y
    +
    37

    2
    )
  • (iv)
    x
    =
    8
  • (v)
    y
    =
    (
    7

    6
    x
    +
    1

    3
    )
Question 21
21.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      5
      y
      10
      )
      =
      0
    • ?
  • (i)
      • line with point
      • V
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • U
  • (iv)
      • line with point
      • S
  • (v)
      • line with point
      • W
Question 22
22.
    • Find the equation of the line passing through the points
    • (
      4
      ,
      (
      6
      )
      )
    • and
    • (
      (
      2
      )
      ,
      5
      )
  • (i)
    (
    11
    x
    +
    6
    y
    14
    )
    =
    0
  • (ii)
    (
    11
    x
    +
    6
    y
    19
    )
    =
    0
  • (iii)
    (
    12
    x
    +
    6
    y
    8
    )
    =
    0
  • (iv)
    (
    10
    x
    +
    6
    y
    8
    )
    =
    0
  • (v)
    (
    11
    x
    +
    6
    y
    8
    )
    =
    0
Question 23
23.
    • The point
    • (
      (
      5
      )
      ,
      (
      1
      )
      )
    • lies in
  • (i)
    third quadrant
  • (ii)
    second quadrant
  • (iii)
    first quadrant
  • (iv)
    fourth quadrant
Question 24
24.
The coordinates of a point which is 1 unit away from x-axis and 6 units away from y-axis in the second quadrant is
  • (i)
    (
    1
    ,
    (
    6
    )
    )
  • (ii)
    (
    6
    ,
    (
    1
    )
    )
  • (iii)
    (
    6
    ,
    1
    )
  • (iv)
    (
    (
    6
    )
    ,
    1
    )
  • (v)
    (
    (
    6
    )
    ,
    (
    1
    )
    )
Question 25
25.
In a coordinate geometry plane, the vertical reference line is called
  • (i)
    y-axis
  • (ii)
    ordinate
  • (iii)
    origin
  • (iv)
    abscissa
  • (v)
    x-axis
    Assignment Key

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