ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Co-ordinate Geometry
Question 1
1.
    • The equation of the line passing through
    • the origin and
    • having a slope
    • m
    • ≠
    • 0 is
  • x
    =
    m
    y
    +
    c
  • y
    =
    m
    x
    +
    c
  • x
    =
    0
  • y
    =
    m
    x
  • y
    =
    0
Question 2
2.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • y
    =
    k
  • x
    =
    k
  • x
    =
    y
  • x
    =
    0
  • y
    =
    0
Question 3
3.
Which of the points (2,6), (-7,8), (-2,-2) and (9,-7) belong to the first quadrant?
  • (
    2
    ,
    6
    )
  • (
    9
    ,
    (
    −
    7
    )
    )
  • (
    (
    −
    2
    )
    ,
    (
    −
    2
    )
    )
  • (
    (
    −
    7
    )
    ,
    8
    )
Question 4
4.
Which of the points (3,5), (-3,8), (-5,-2) and (7,-6) belong to the second quadrant?
  • (
    7
    ,
    (
    −
    6
    )
    )
  • (
    3
    ,
    5
    )
  • (
    (
    −
    3
    )
    ,
    8
    )
  • (
    (
    −
    5
    )
    ,
    (
    −
    2
    )
    )
Question 5
5.
Determine the coordinates of point D in the diagram.
  • (
    (
    −
    7
    )
    ,
    3
    )
  • (
    7
    ,
    (
    −
    3
    )
    )
  • (
    7
    ,
    3
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    3
    )
    )
  • (
    3
    ,
    7
    )
Question 6
6.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      3
      4
      x
      +
      7
      4
      		)
    • (
      (
      −
      2
      )
      ,
      13
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      2
      )
    • ,
    • (
      0
      ,
      7
      4
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      2
      ,
      1
      4
      )
    • (
      (
      −
      2
      )
      ,
      13
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      2
      )
    • ,
    • (
      1
      ,
      3
      4
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      2
      ,
      1
      4
      )
    • (
      (
      −
      2
      )
      ,
      13
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      2
      )
    • ,
    • (
      0
      ,
      7
      4
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      2
      ,
      1
      4
      )
    • (
      (
      −
      2
      )
      ,
      13
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      2
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      1
      4
      )
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      2
      ,
      1
      4
      )
    • (
      (
      −
      2
      )
      ,
      13
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      2
      )
    • ,
    • (
      0
      ,
      7
      4
      )
    • ,
    • (
      1
      ,
      1
      )
    • ,
    • (
      4
      ,
      9
      4
      )
Question 7
7.
Determine the quadrant of the displayed point
  • fourth quadrant
  • third quadrant
  • second quadrant
  • first quadrant
Question 8
8.
    • Find the set of points satisfying the equation
    		•
      y
      =
      4
      3
      x
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      7
      3
      )
    • ,
    • (
      2
      ,
      8
      3
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      4
      3
      )
    • ,
    • (
      2
      ,
      8
      3
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      4
      3
      )
    • ,
    • (
      4
      ,
      14
      3
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      4
      3
      )
    • ,
    • (
      2
      ,
      8
      3
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      4
      3
      )
    • ,
    • (
      2
      ,
      8
      3
      )
Question 9
9.
    • Which of the following equations satisfy the given points
      • (
        5
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        5
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        5
        ,
        0
        )
      • ,
      • (
        5
        ,
        1
        )
      • ,
      • (
        5
        ,
        2
        )
    • ?
  • y
    =
    (
    −
    6
    7
    x
    −
    26
    7
    		)
  • (
    −
    12
    x
    −
    14
    y
    −
    4
    		)
    =
    0
  • x
    =
    (
    6
    7
    y
    +
    83
    7
    		)
  • y
    =
    (
    −
    8
    		)
  • x
    =
    5
Question 10
10.
The coordinates of a point which is 3 units away from x-axis and 7 units away from y-axis in the third quadrant is
  • (
    (
    −
    7
    )
    ,
    3
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    3
    )
    )
  • (
    7
    ,
    3
    )
  • (
    (
    −
    3
    )
    ,
    (
    −
    7
    )
    )
  • (
    7
    ,
    (
    −
    3
    )
    )