ICSE Board Practice

ICSE Grade IX - Co-ordinate Geometry
Question 1
1.
Distance of the given point from y-axis is
  • 8
  • 4
  • 0
  • 16
Question 2
2.
    • The point
    • (
      8
      ,
      7
      )
    • lies in
  • fourth quadrant
  • second quadrant
  • first quadrant
  • third quadrant
Question 3
3.
    • Which of the following lines do not pass through the origin?
  • (
    6
    x
    +
    y
    )
    =
    0
  • (
    x
    +
    3
    y
    +
    11
    )
    =
    0
  • (
    −
    3
    x
    +
    2
    y
    )
    =
    0
  • (
    −
    5
    x
    −
    5
    y
    )
    =
    0
  • (
    5
    x
    −
    2
    y
    )
    =
    0
Question 4
4.
    • Find the set of points satisfying the equation
    • y
      =
      0
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      2
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      2
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      4
      ,
      2
      )
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      0
      )
    • ,
    • (
      2
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      1
      )
    • ,
    • (
      2
      ,
      0
      )
Question 5
5.
In a coordinate geometry plane, the vertical reference line is called
  • origin
  • y-axis
  • ordinate
  • abscissa
  • x-axis
Question 6
6.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        6
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        6
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        6
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        6
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        6
        )
        ,
        2
        )
    • ?
  • y
    =
    (
    −
    4
    )
  • (
    9
    x
    +
    4
    y
    −
    3
    )
    =
    0
  • x
    =
    (
    −
    6
    )
  • (
    −
    9
    x
    −
    8
    y
    −
    11
    )
    =
    0
  • y
    =
    (
    −
    9

    8
    x
    −
    43

    4
    )
Question 7
7.
Which of the following is a point on the positive x-axis?
  • (
    (
    −
    5
    )
    ,
    1
    )
  • (
    0
    ,
    (
    −
    3
    )
    )
  • (
    0
    ,
    7
    )
  • (
    (
    −
    8
    )
    ,
    0
    )
  • (
    5
    ,
    0
    )
Question 8
8.
    • Which of the following lines pass through the origin?
  • (
    6
    x
    +
    5
    y
    −
    23
    )
    =
    0
  • (
    −
    14
    y
    −
    70
    )
    =
    0
  • (
    x
    −
    3
    y
    )
    =
    0
  • (
    7
    x
    +
    9
    y
    −
    30
    )
    =
    0
  • (
    −
    13
    x
    −
    78
    )
    =
    0
Question 9
9.
A line which is neither parallel to x-axis nor y-axis is
  • an oblique line
  • a curved line
  • a horizontal line
  • a vertical line
Question 10
10.
    • Find the set of points satisfying the equation
    • y
      =
      (
      −
      14

      15
      x
      )
    • (
      (
      −
      2
      )
      ,
      28

      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      14

      15
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      1

      15
      )
    • ,
    • (
      2
      ,
      (
      −
      28

      15
      )
      )
    • (
      (
      −
      2
      )
      ,
      28

      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      14

      15
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      14

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      28

      15
      )
      )
    • (
      (
      −
      2
      )
      ,
      28

      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      14

      15
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      14

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      28

      15
      )
      )
    • (
      (
      −
      2
      )
      ,
      28

      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      14

      15
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      14

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      28

      15
      )
      )
    • (
      (
      −
      2
      )
      ,
      28

      15
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      14

      15
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      14

      15
      )
      )
    • ,
    • (
      4
      ,
      2

      15
      )