ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Co-ordinate Geometry
Question 1
1.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      11
      5
      x
      +
      23
      5
      		)
    • (
      (
      −
      2
      )
      ,
      1
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      12
      5
      )
    • ,
    • (
      1
      ,
      18
      5
      )
    • ,
    • (
      1
      ,
      34
      5
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      1
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      12
      5
      )
    • ,
    • (
      0
      ,
      23
      5
      )
    • ,
    • (
      1
      ,
      34
      5
      )
    • ,
    • (
      4
      ,
      11
      )
    • (
      (
      −
      2
      )
      ,
      1
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      12
      5
      )
    • ,
    • (
      0
      ,
      23
      5
      )
    • ,
    • (
      1
      ,
      34
      5
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      1
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      12
      5
      )
    • ,
    • (
      0
      ,
      23
      5
      )
    • ,
    • (
      0
      ,
      39
      5
      )
    • ,
    • (
      2
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      1
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      12
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      13
      5
      )
    • ,
    • (
      1
      ,
      34
      5
      )
    • ,
    • (
      2
      ,
      9
      )
Question 2
2.
Which of the points (5,9), (-8,9), (-3,-5) and (5,-4) belong to the first quadrant?
  • (
    (
    −
    3
    )
    ,
    (
    −
    5
    )
    )
  • (
    5
    ,
    (
    −
    4
    )
    )
  • (
    5
    ,
    9
    )
  • (
    (
    −
    8
    )
    ,
    9
    )
Question 3
3.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        7
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        7
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        7
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        7
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        7
        )
        )
    • ?
  • x
    =
    2
  • (
    6
    x
    +
    10
    y
    −
    5
    		)
    =
    0
  • (
    −
    12
    x
    −
    7
    y
    −
    11
    		)
    =
    0
  • y
    =
    (
    −
    7
    		)
  • y
    =
    (
    −
    12
    7
    x
    −
    25
    7
    		)
Question 4
4.
Any line parallel to x-axis is
  • a horizontal line
  • an oblique line
  • a curved line
  • a vertical line
Question 5
5.
A point lies on positive side of x-axis at a distance of 2 units from y-axis. What are the coordinates of the point?
  • (
    (
    −
    2
    )
    ,
    0
    )
  • (
    0
    ,
    2
    )
  • (
    0
    ,
    (
    −
    2
    )
    )
  • (
    2
    ,
    0
    )
Question 6
6.
If point P(x,y) lies in the fourth quadrant, then
  • x is negative and y is positive
  • x is negative and y is negative
  • x is positive and y is negative
  • x is positive and y is positive
Question 7
7.
Find the equation of the displayed line
  • y
    =
    1
  • x
    =
    2
  • x
    =
    0
  • x
    =
    1
  • 4
    x
    =
    1
Question 8
8.
    • Find the equation of the line passing through the points
    • (
      8
      ,
      (
      −
      3
      )
      )
    • and
    • (
      (
      −
      4
      )
      ,
      8
      )
  • (
    10
    x
    +
    12
    y
    −
    52
    		)
    =
    0
  • (
    11
    x
    +
    12
    y
    −
    64
    		)
    =
    0
  • (
    11
    x
    +
    12
    y
    −
    52
    		)
    =
    0
  • (
    11
    x
    +
    12
    y
    −
    63
    		)
    =
    0
  • (
    12
    x
    +
    12
    y
    −
    52
    		)
    =
    0
Question 9
9.
    • The equation of the line passing through the points
    • (
      (
      −
      7
      )
      ,
      7
      )
    • and
    • (
      1
      ,
      (
      −
      2
      )
      )
    • is
  • (
    5
    x
    −
    7
    y
    −
    19
    		)
    =
    0
  • (
    −
    9
    x
    −
    8
    y
    −
    7
    		)
    =
    0
  • (
    −
    5
    x
    +
    15
    y
    −
    5
    		)
    =
    0
  • (
    −
    4
    x
    −
    15
    y
    +
    77
    		)
    =
    0
Question 10
10.
    • Find the set of points satisfying the equation
    		•
      y
      =
      4
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      0
      ,
      4
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      2
      ,
      4
      )
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      2
      )
    • ,
    • (
      1
      ,
      4
      )
    • ,
    • (
      2
      ,
      4
      )
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      1
      ,
      4
      )
    • ,
    • (
      2
      ,
      4
      )
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      0
      ,
      4
      )
    • ,
    • (
      1
      ,
      4
      )
    • ,
    • (
      2
      ,
      4
      )
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      0
      ,
      4
      )
    • ,
    • (
      1
      ,
      4
      )
    • ,
    • (
      4
      ,
      6
      )