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
    		•
      x
      =
      2
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      0
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      0
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      0
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      4
      ,
      4
      )
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      2
      )
Question 2
2.
Determine the quadrant of the displayed point
  • second quadrant
  • third quadrant
  • first quadrant
  • fourth quadrant
Question 3
3.
Which of the following is a point on the negative x-axis?
  • (
    0
    ,
    6
    )
  • (
    0
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    9
    )
    ,
    5
    )
  • (
    7
    ,
    0
    )
  • (
    (
    −
    6
    )
    ,
    0
    )
Question 4
4.
Which of the points (2,8), (-7,1), (-7,-9) and (8,-5) belong to the second quadrant?
  • (
    2
    ,
    8
    )
  • (
    8
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    7
    )
    ,
    1
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    9
    )
    )
Question 5
5.
If point P(x,y) lies in the first quadrant, then
  • x is negative and y is negative
  • x is negative and y is positive
  • x is positive and y is negative
  • x is positive and y is positive
Question 6
6.
Distance of the given point from x-axis is
  • 7
  • 42
  • 13
  • -1
  • 6
Question 7
7.
A point lies on positive side of x-axis at a distance of 6 units from y-axis. What are the coordinates of the point?
  • (
    6
    ,
    0
    )
  • (
    0
    ,
    6
    )
  • (
    0
    ,
    (
    −
    6
    )
    )
  • (
    (
    −
    6
    )
    ,
    0
    )
Question 8
8.
The coordinates of a point which is 2 units away from x-axis and 1 unit away from y-axis in the third quadrant is
  • (
    1
    ,
    2
    )
  • (
    (
    −
    2
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
  • (
    1
    ,
    (
    −
    2
    )
    )
  • (
    (
    −
    1
    )
    ,
    2
    )
Question 9
9.
Which of the following are true?
a)
    • Equation of the line passing through origin is y = x
b)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
c)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
d)
    • Equation of the line passing through origin is y = mx +
    • 6
  • {a,b}
  • {c,d,a}
  • {d,b}
  • {c,a}
  • {c,b,a}
Question 10
10.
If point P(x,y) lies in the third quadrant, then
  • x is positive and y is negative
  • x is negative and y is negative
  • x is positive and y is positive
  • x is negative and y is positive