EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The point
    • (
      (
      4
      )
      ,
      (
      5
      )
      )
    • lies in
  • (i)
    second quadrant
  • (ii)
    first quadrant
  • (iii)
    fourth quadrant
  • (iv)
    third quadrant
Question 2
2.
    • Solve
    •  
    • (
      x
      +
      3
      )
      =
      0
      (
      x
      2
      )
      =
      0
  • (i)
    (
    (
    6
    )
    ,
    (
    4
    )
    )
  • (ii)
    (
    (
    6
    )
    ,
    6
    )
  • (iii)
    Infinite solutions
  • (iv)
    No solution
  • (v)
    (
    (
    4
    )
    ,
    (
    2
    )
    )
Question 3
3.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    4
    ,
    (
    8
    )
    )
  • (ii)
    (
    (
    7
    )
    ,
    8
    )
  • (iii)
    (
    (
    1
    )
    ,
    (
    9
    )
    )
  • (iv)
    (
    8
    ,
    5
    )
Question 4
4.
The coordinates of a point which is 1 unit away from x-axis and 2 units away from y-axis in the second quadrant is
  • (i)
    (
    2
    ,
    (
    1
    )
    )
  • (ii)
    (
    2
    ,
    1
    )
  • (iii)
    (
    (
    2
    )
    ,
    (
    1
    )
    )
  • (iv)
    (
    1
    ,
    (
    2
    )
    )
  • (v)
    (
    (
    2
    )
    ,
    1
    )
Question 5
5.
Determine the coordinates of point Q in the diagram.
  • (i)
    (
    2
    ,
    6
    )
  • (ii)
    (
    6
    ,
    2
    )
  • (iii)
    (
    (
    6
    )
    ,
    (
    2
    )
    )
  • (iv)
    (
    (
    6
    )
    ,
    2
    )
  • (v)
    (
    6
    ,
    (
    2
    )
    )
Question 6
6.
    • The coordinates of the origin are
  • (i)
    (
    0
    ,
    0
    )
  • (ii)
    (
    1
    ,
    1
    )
  • (iii)
    (
    9
    ,
    0
    )
  • (iv)
    (
    0
    ,
    7
    )
  • (v)
    (
    1
    ,
    0
    )
Question 7
7.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      x
      +
      1
      )
  • (i)
      • line with point
      • R
  • (ii)
      • line with point
      • S
  • (iii)
      • line with point
      • P
  • (iv)
      • line with point
      • O
  • (v)
      • line with point
      • Q
Question 8
8.
Which of the following is a point on the positive x-axis?
  • (i)
    (
    (
    8
    )
    ,
    0
    )
  • (ii)
    (
    (
    8
    )
    ,
    3
    )
  • (iii)
    (
    5
    ,
    0
    )
  • (iv)
    (
    0
    ,
    (
    6
    )
    )
  • (v)
    (
    0
    ,
    1
    )
Question 9
9.
A point lies on negative side of y-axis at a distance of 1 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    1
    ,
    0
    )
  • (ii)
    (
    0
    ,
    (
    1
    )
    )
  • (iii)
    (
    (
    1
    )
    ,
    0
    )
  • (iv)
    (
    0
    ,
    1
    )
Question 10
10.
    • Solve
    •  
    • (
      4
      y
      +
      8
      )
      =
      0
      (
      8
      x
      5
      y
      10
      )
      =
      0
  • (i)
    (
    (
    1
    )
    ,
    (
    1
    )
    )
  • (ii)
    (
    0
    ,
    (
    2
    )
    )
  • (iii)
    (
    (
    2
    )
    ,
    (
    4
    )
    )
  • (iv)
    (
    1
    ,
    (
    3
    )
    )
  • (v)
    (
    2
    ,
    0
    )
Question 11
11.
Which of the following is a point on the x-axis?
  • (i)
    (
    5
    ,
    0
    )
  • (ii)
    (
    0
    ,
    2
    )
  • (iii)
    (
    (
    2
    )
    ,
    7
    )
  • (iv)
    (
    5
    ,
    (
    5
    )
    )
  • (v)
    (
    1
    ,
    6
    )
Question 12
12.
    • The point
    • (
      7
      ,
      9
      )
    • lies in
  • (i)
    second quadrant
  • (ii)
    fourth quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 13
13.
Which of the following are true?
a)
The ordinate of every point on x-axis is zero
b)
The abscissa of every point on y-axis is zero
c)
The ordinate of every point on y-axis is zero
d)
The abscissa of every point on x-axis is zero
  • (i)
    {c,a}
  • (ii)
    {c,d,a}
  • (iii)
    {d,b}
  • (iv)
    {c,b,a}
  • (v)
    {a,b}
Question 14
14.
    • Solve
    •  
    • (
      9
      x
      +
      9
      y
      +
      9
      )
      =
      0
      (
      y
      2
      )
      =
      0
  • (i)
    (
    3
    ,
    2
    )
  • (ii)
    (
    0
    ,
    2
    )
  • (iii)
    (
    (
    3
    )
    ,
    2
    )
  • (iv)
    (
    3
    ,
    0
    )
  • (v)
    (
    (
    6
    )
    ,
    (
    7
    )
    )
Question 15
15.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        1

        2
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        7

        8
        )
        )
      • ,
      • (
        0
        ,
        (
        9

        4
        )
        )
      • ,
      • (
        1
        ,
        (
        29

        8
        )
        )
      • ,
      • (
        2
        ,
        (
        5
        )
        )
    • ?
  • (i)
    (
    11
    x
    8
    y
    +
    2
    )
    =
    0
  • (ii)
    y
    =
    (
    11

    8
    x
    9

    4
    )
  • (iii)
    y
    =
    6
  • (iv)
    (
    49
    x
    +
    18
    y
    14
    )
    =
    0
  • (v)
    x
    =
    (
    6
    )
Question 16
16.
The coordinates of a point which is 4 units away from x-axis and 3 units away from y-axis in the third quadrant is
  • (i)
    (
    (
    4
    )
    ,
    (
    3
    )
    )
  • (ii)
    (
    (
    3
    )
    ,
    (
    4
    )
    )
  • (iii)
    (
    3
    ,
    4
    )
  • (iv)
    (
    3
    ,
    (
    4
    )
    )
  • (v)
    (
    (
    3
    )
    ,
    4
    )
Question 17
17.
Identify the point belonging to the third quadrant
  • (i)
    (
    (
    4
    )
    ,
    4
    )
  • (ii)
    (
    (
    1
    )
    ,
    (
    6
    )
    )
  • (iii)
    (
    3
    ,
    1
    )
  • (iv)
    (
    1
    ,
    (
    9
    )
    )
Question 18
18.
    • Which of the displayed lines represent the equation
    • x
      =
      (
      5
      )
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • X
  • (iii)
      • line with point
      • V
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • W
Question 19
19.
Identify the point belonging to the second quadrant
  • (i)
    (
    (
    4
    )
    ,
    (
    1
    )
    )
  • (ii)
    (
    6
    ,
    6
    )
  • (iii)
    (
    (
    5
    )
    ,
    6
    )
  • (iv)
    (
    3
    ,
    (
    8
    )
    )
Question 20
20.
The x-coordinate of a point is also called as
  • (i)
    ordinate
  • (ii)
    origin
  • (iii)
    y-axis
  • (iv)
    abscissa
  • (v)
    x-axis
Question 21
21.
    • The point
    • (
      (
      6
      )
      ,
      7
      )
    • lies in
  • (i)
    fourth quadrant
  • (ii)
    second quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 22
22.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        7
        )
      • ,
      • (
        (
        1
        )
        ,
        7
        )
      • ,
      • (
        0
        ,
        7
        )
      • ,
      • (
        1
        ,
        7
        )
      • ,
      • (
        2
        ,
        7
        )
    • ?
  • (i)
    (
    3
    x
    +
    3
    y
    2
    )
    =
    0
  • (ii)
    y
    =
    7
  • (iii)
    x
    =
    (
    5

    8
    y
    75

    8
    )
  • (iv)
    y
    =
    (
    5

    8
    x
    +
    31

    8
    )
  • (v)
    x
    =
    (
    5
    )
Question 23
23.
    • Which of the displayed lines represent the equation
    • y
      =
      4

      9
      x
  • (i)
      • line with point
      • P
  • (ii)
      • line with point
      • O
  • (iii)
      • line with point
      • N
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • Q
Question 24
24.
    • Solve
    •  
    • (
      y
      3
      )
      =
      0
      (
      y
      6
      )
      =
      0
  • (i)
    Infinite solutions
  • (ii)
    (
    (
    4
    )
    ,
    (
    4
    )
    )
  • (iii)
    No solution
  • (iv)
    (
    6
    ,
    (
    2
    )
    )
  • (v)
    (
    (
    2
    )
    ,
    (
    2
    )
    )
Question 25
25.
In a coordinate geometry plane, the vertical reference line is called
  • (i)
    ordinate
  • (ii)
    origin
  • (iii)
    y-axis
  • (iv)
    x-axis
  • (v)
    abscissa
    Assignment Key

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