ICSE Board Practice

ICSE Grade IX - Co-ordinate Geometry
Question 1
1.
The equation of y-axis is
  • x
    =
    0
  • y
    =
    x
  • x
    =
    1
  • y
    =
    1
  • y
    =
    0
Question 2
2.
Which of the following is a point on the positive y-axis?
  • (
    0
    ,
    (
    1
    )
    )
  • (
    0
    ,
    5
    )
  • (
    (
    2
    )
    ,
    0
    )
  • (
    (
    8
    )
    ,
    5
    )
  • (
    8
    ,
    0
    )
Question 3
3.
Determine the coordinates of point I in the diagram.
  • (
    1
    ,
    3
    )
  • (
    (
    3
    )
    ,
    (
    1
    )
    )
  • (
    (
    1
    )
    ,
    (
    3
    )
    )
  • (
    1
    ,
    (
    3
    )
    )
  • (
    (
    1
    )
    ,
    3
    )
Question 4
4.
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?
  • (
    0
    ,
    (
    6
    )
    )
  • (
    0
    ,
    6
    )
  • (
    6
    ,
    0
    )
  • (
    (
    6
    )
    ,
    0
    )
Question 5
5.
If point P(x,y) lies in the second quadrant, then
  • x is negative and y is negative
  • x is positive and y is negative
  • x is negative and y is positive
  • x is positive and y is positive
Question 6
6.
If point P(x,y) lies in the first quadrant, then
  • x is negative and y is positive
  • x is positive and y is positive
  • x is positive and y is negative
  • x is negative and y is negative
Question 7
7.
Determine the quadrant of the displayed point
  • third quadrant
  • first quadrant
  • second quadrant
  • fourth quadrant
Question 8
8.
Identify the point belonging to the first quadrant
  • (
    (
    1
    )
    ,
    4
    )
  • (
    9
    ,
    7
    )
  • (
    1
    ,
    (
    8
    )
    )
  • (
    (
    1
    )
    ,
    (
    4
    )
    )
Question 9
9.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        17

        2
        )
      • ,
      • (
        (
        1
        )
        ,
        9

        2
        )
      • ,
      • (
        0
        ,
        1

        2
        )
      • ,
      • (
        1
        ,
        (
        7

        2
        )
        )
      • ,
      • (
        2
        ,
        (
        15

        2
        )
        )
    • ?
  • y
    =
    4
  • (
    8
    x
    +
    2
    y
    1
    )
    =
    0
  • x
    =
    (
    3

    5
    y
    17

    5
    )
  • x
    =
    (
    1
    )
  • y
    =
    (
    3

    5
    x
    +
    17

    5
    )
Question 10
10.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      9

      2
      x
      )
      • line with point
      • Q
      • line with point
      • S
      • line with point
      • R
      • line with point
      • T
      • line with point
      • P