ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Co-ordinate Geometry
Question 1
1.
Which of the points (2,1), (-6,7), (-5,-9) and (6,-3) belong to the first quadrant?
  • (
    (
    −
    5
    )
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    6
    )
    ,
    7
    )
  • (
    2
    ,
    1
    )
  • (
    6
    ,
    (
    −
    3
    )
    )
Question 2
2.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      13
      x
      		)
    • (
      (
      −
      2
      )
      ,
      26
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      13
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      13
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      24
      )
      )
    • (
      (
      −
      2
      )
      ,
      26
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      13
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      13
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      26
      )
      )
    • (
      (
      −
      2
      )
      ,
      26
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      13
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      13
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      26
      )
      )
    • (
      (
      −
      2
      )
      ,
      26
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      13
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      (
      −
      12
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      26
      )
      )
    • (
      (
      −
      2
      )
      ,
      26
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      13
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      13
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      26
      )
      )
Question 3
3.
Which of the following is a point on the positive y-axis?
  • (
    (
    −
    2
    )
    ,
    1
    )
  • (
    0
    ,
    (
    −
    8
    )
    )
  • (
    (
    −
    4
    )
    ,
    0
    )
  • (
    0
    ,
    9
    )
  • (
    9
    ,
    0
    )
Question 4
4.
    • Find the set of points satisfying the equation
    		•
      x
      =
      (
      4
      7
      y
      −
      26
      7
      		)
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      4
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      9
      2
      )
    • ,
    • (
      1
      ,
      33
      4
      )
    • ,
    • (
      2
      ,
      10
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      4
      )
    • ,
    • (
      1
      ,
      11
      2
      )
    • ,
    • (
      1
      ,
      33
      4
      )
    • ,
    • (
      2
      ,
      10
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      4
      )
    • ,
    • (
      0
      ,
      13
      2
      )
    • ,
    • (
      0
      ,
      37
      4
      )
    • ,
    • (
      2
      ,
      10
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      4
      )
    • ,
    • (
      0
      ,
      13
      2
      )
    • ,
    • (
      1
      ,
      33
      4
      )
    • ,
    • (
      4
      ,
      12
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      4
      )
    • ,
    • (
      0
      ,
      13
      2
      )
    • ,
    • (
      1
      ,
      33
      4
      )
    • ,
    • (
      2
      ,
      10
      )
Question 5
5.
    • The point
    • (
      (
      −
      6
      )
      ,
      (
      −
      7
      )
      )
    • lies in
  • third quadrant
  • second quadrant
  • first quadrant
  • fourth quadrant
Question 6
6.
If point P(x,y) lies in the first quadrant, then
  • x is negative and y is negative
  • x is positive and y is negative
  • x is positive and y is positive
  • x is negative and y is positive
Question 7
7.
Which of the following is a point on the x-axis?
  • (
    0
    ,
    3
    )
  • (
    9
    ,
    0
    )
  • (
    (
    −
    6
    )
    ,
    6
    )
  • (
    3
    ,
    4
    )
  • (
    7
    ,
    (
    −
    8
    )
    )
Question 8
8.
In a coordinate geometry plane, the vertical reference line is called
  • x-axis
  • ordinate
  • origin
  • abscissa
  • y-axis
Question 9
9.
    • Which of the displayed lines represent the equation
    • x
      =
      6
      • line with point
      • N
      • line with point
      • O
      • line with point
      • M
      • line with point
      • P
      • line with point
      • Q
Question 10
10.
    • The equation of the line with slope
    • m
    • ≠
    • 0 and y-intercept
    • c
    • ≠
    • 0 is
  • x
    =
    0
  • y
    =
    m
    x
    +
    c
  • x
    =
    m
    y
    +
    c
  • y
    =
    m
    x
  • y
    =
    0