ICSE Board Practice

ICSE Grade VIII - Coordinate System and Graphs
Question 1
1.
    • Find the set of points satisfying the equation
    • (
      15
      x
      +
      32
      y
      −
      12
      )
      =
      0
    • (
      (
      −
      2
      )
      ,
      21

      16
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27

      32
      )
    • ,
    • (
      1
      ,
      (
      −
      5

      8
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3

      32
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      9

      16
      )
      )
    • (
      (
      −
      2
      )
      ,
      21

      16
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27

      32
      )
    • ,
    • (
      0
      ,
      3

      8
      )
    • ,
    • (
      1
      ,
      (
      −
      3

      32
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      9

      16
      )
      )
    • (
      (
      −
      2
      )
      ,
      21

      16
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27

      32
      )
    • ,
    • (
      0
      ,
      3

      8
      )
    • ,
    • (
      1
      ,
      (
      −
      3

      32
      )
      )
    • ,
    • (
      4
      ,
      23

      16
      )
    • (
      (
      −
      2
      )
      ,
      21

      16
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27

      32
      )
    • ,
    • (
      0
      ,
      3

      8
      )
    • ,
    • (
      0
      ,
      29

      32
      )
    • ,
    • (
      2
      ,
      (
      −
      9

      16
      )
      )
    • (
      (
      −
      2
      )
      ,
      21

      16
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      27

      32
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      13

      8
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3

      32
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      9

      16
      )
      )
Question 2
2.
The coordinates of a point which is 5 units away from x-axis and 5 units away from y-axis in the first quadrant is
  • (
    5
    ,
    5
    )
  • (
    5
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    5
    )
    ,
    5
    )
  • (
    (
    −
    5
    )
    ,
    (
    −
    5
    )
    )
Question 3
3.
The coordinates of a point which is 5 units away from x-axis and 6 units away from y-axis in the second quadrant is
  • (
    6
    ,
    5
    )
  • (
    5
    ,
    (
    −
    6
    )
    )
  • (
    6
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    6
    )
    ,
    5
    )
Question 4
4.
    • The point
    • (
      2
      ,
      1
      )
    • lies in
  • third quadrant
  • fourth quadrant
  • first quadrant
  • second quadrant
Question 5
5.
    • The point
    • (
      (
      −
      5
      )
      ,
      (
      −
      8
      )
      )
    • lies in
  • second quadrant
  • fourth quadrant
  • third quadrant
  • first quadrant
Question 6
6.
If point P(x,y) lies in the third quadrant, then
  • x is positive and y is positive
  • x is positive and y is negative
  • x is negative and y is negative
  • x is negative and y is positive
Question 7
7.
Which of the following is a point on the y-axis?
  • (
    (
    −
    1
    )
    ,
    4
    )
  • (
    0
    ,
    6
    )
  • (
    3
    ,
    0
    )
  • (
    4
    ,
    (
    −
    9
    )
    )
  • (
    9
    ,
    2
    )
Question 8
8.
    • Find the set of points satisfying the equation
    • x
      =
      (
      −
      3
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      2
      )
Question 9
9.
    • Solve
    •  
    • (
      −
      x
      −
      5
      y
      −
      25
      )
      =
      0
      (
      11
      x
      −
      55
      )
      =
      0
  • (
    6
    ,
    (
    −
    7
    )
    )
  • (
    7
    ,
    (
    −
    4
    )
    )
  • (
    3
    ,
    (
    −
    8
    )
    )
  • (
    5
    ,
    (
    −
    6
    )
    )
  • (
    4
    ,
    (
    −
    5
    )
    )
Question 10
10.
Distance of the given point from y-axis is
  • 0
  • 8