ICSE Board Practice

ICSE Grade IX - Co-ordinate Geometry
Question 1
1.
Distance of the point (9,6) from x-axis is
  • (
    3
    )
  • 6
  • 15
  • 3
  • 9
Question 2
2.
Determine the coordinates of point R in the diagram.
  • (
    8
    ,
    6
    )
  • (
    (
    6
    )
    ,
    8
    )
  • (
    (
    8
    )
    ,
    (
    6
    )
    )
  • (
    (
    8
    )
    ,
    6
    )
  • (
    8
    ,
    (
    6
    )
    )
Question 3
3.
    • Find the set of points satisfying the equation
    • y
      =
      (
      1

      2
      x
      2
      )
    • (
      (
      2
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3

      2
      )
      )
    • ,
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      5

      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • (
      (
      2
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3

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

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

      2
      )
      )
    • ,
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      5

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

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

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

      2
      )
      )
    • ,
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      3

      2
      )
      )
    • ,
    • (
      2
      ,
      (
      3
      )
      )
Question 4
4.
    • Find the set of points satisfying the equation
    • x
      =
      (
      1

      12
      y
      103

      12
      )
    • (
      (
      2
      )
      ,
      (
      79
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      91
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      105
      )
      )
    • ,
    • (
      1
      ,
      (
      115
      )
      )
    • ,
    • (
      2
      ,
      (
      127
      )
      )
    • (
      (
      2
      )
      ,
      (
      79
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      91
      )
      )
    • ,
    • (
      0
      ,
      (
      103
      )
      )
    • ,
    • (
      1
      ,
      (
      115
      )
      )
    • ,
    • (
      4
      ,
      (
      125
      )
      )
    • (
      (
      2
      )
      ,
      (
      79
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      91
      )
      )
    • ,
    • (
      0
      ,
      (
      103
      )
      )
    • ,
    • (
      0
      ,
      (
      114
      )
      )
    • ,
    • (
      2
      ,
      (
      127
      )
      )
    • (
      (
      2
      )
      ,
      (
      79
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      91
      )
      )
    • ,
    • (
      0
      ,
      (
      103
      )
      )
    • ,
    • (
      1
      ,
      (
      115
      )
      )
    • ,
    • (
      2
      ,
      (
      127
      )
      )
    • (
      (
      2
      )
      ,
      (
      79
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      91
      )
      )
    • ,
    • (
      1
      ,
      (
      104
      )
      )
    • ,
    • (
      1
      ,
      (
      115
      )
      )
    • ,
    • (
      2
      ,
      (
      127
      )
      )
Question 5
5.
    • Which of the displayed lines represent the equation
    • x
      =
      3
      • line with point
      • O
      • line with point
      • Q
      • line with point
      • N
      • line with point
      • P
      • line with point
      • R
Question 6
6.
Any line parallel to y-axis is
  • a curved line
  • a vertical line
  • a horizontal line
  • an oblique line
Question 7
7.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      9

      4
      x
      )
      • line with point
      • M
      • line with point
      • O
      • line with point
      • N
      • line with point
      • P
      • line with point
      • Q
Question 8
8.
Distance of the given point from x-axis is
  • 6
  • -1
  • 5
  • 11
  • 30
Question 9
9.
    • Which of the following equations satisfy the given points
      • (
        (
        8
        )
        ,
        (
        2
        )
        )
      • ,
      • (
        (
        8
        )
        ,
        (
        1
        )
        )
      • ,
      • (
        (
        8
        )
        ,
        0
        )
      • ,
      • (
        (
        8
        )
        ,
        1
        )
      • ,
      • (
        (
        8
        )
        ,
        2
        )
    • ?
  • y
    =
    4
  • x
    =
    (
    3

    13
    y
    116

    13
    )
  • x
    =
    (
    8
    )
  • (
    12
    x
    +
    4
    y
    3
    )
    =
    0
  • (
    3
    x
    13
    y
    1
    )
    =
    0
Question 10
10.
Which of the following is a point on the negative x-axis?
  • (
    5
    ,
    0
    )
  • (
    0
    ,
    5
    )
  • (
    (
    9
    )
    ,
    0
    )
  • (
    (
    2
    )
    ,
    3
    )
  • (
    0
    ,
    (
    5
    )
    )