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 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
c)
    • Equation of the line passing through origin is y = mx +
    • 7
d)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
  • {b,d,a}
  • {c,d}
  • {b,a}
  • {b,c,a}
  • {a,d}
Question 2
2.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      6
      x
      +
      28
      		)
    • (
      (
      −
      2
      )
      ,
      40
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      34
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      26
      )
    • ,
    • (
      1
      ,
      22
      )
    • ,
    • (
      2
      ,
      16
      )
    • (
      (
      −
      2
      )
      ,
      40
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      34
      )
    • ,
    • (
      1
      ,
      27
      )
    • ,
    • (
      1
      ,
      22
      )
    • ,
    • (
      2
      ,
      16
      )
    • (
      (
      −
      2
      )
      ,
      40
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      34
      )
    • ,
    • (
      0
      ,
      28
      )
    • ,
    • (
      1
      ,
      22
      )
    • ,
    • (
      2
      ,
      16
      )
    • (
      (
      −
      2
      )
      ,
      40
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      34
      )
    • ,
    • (
      0
      ,
      28
      )
    • ,
    • (
      0
      ,
      23
      )
    • ,
    • (
      2
      ,
      16
      )
    • (
      (
      −
      2
      )
      ,
      40
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      34
      )
    • ,
    • (
      0
      ,
      28
      )
    • ,
    • (
      1
      ,
      22
      )
    • ,
    • (
      4
      ,
      18
      )
Question 3
3.
Which of the points (8,2), (-1,7), (-7,-3) and (7,-2) belong to the second quadrant?
  • (
    (
    −
    1
    )
    ,
    7
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    3
    )
    )
  • (
    8
    ,
    2
    )
  • (
    7
    ,
    (
    −
    2
    )
    )
Question 4
4.
A line which is neither parallel to x-axis nor y-axis is
  • a vertical line
  • a curved line
  • a horizontal line
  • an oblique line
Question 5
5.
The equation of the line in slope intercept form is
a)
    • y
      =
      m
      x
      +
      c
b)
    • y
      =
      c
      x
      +
      m
c)
    • x
      =
      c
      y
      +
      m
d)
    • x
      =
      m
      y
      +
      c
  • {a}
  • {b,a}
  • {c,a}
  • {d,b,a}
Question 6
6.
The equation of y-axis is
  • y
    =
    1
  • y
    =
    0
  • x
    =
    1
  • x
    =
    0
  • y
    =
    x
Question 7
7.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        2
        )
        )
    • ?
  • y
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    2
    3
    x
    +
    4
    3
    		)
  • x
    =
    (
    2
    3
    y
    +
    19
    3
    		)
  • (
    −
    8
    x
    −
    12
    y
    −
    8
    		)
    =
    0
  • (
    9
    x
    +
    8
    y
    −
    4
    		)
    =
    0
Question 8
8.
Determine the coordinates of point L in the diagram.
  • (
    (
    −
    7
    )
    ,
    (
    −
    4
    )
    )
  • (
    (
    −
    7
    )
    ,
    4
    )
  • (
    7
    ,
    4
    )
  • (
    4
    ,
    (
    −
    7
    )
    )
  • (
    7
    ,
    (
    −
    4
    )
    )
Question 9
9.
    • The point
    • (
      (
      −
      4
      )
      ,
      3
      )
    • lies in
  • fourth quadrant
  • third quadrant
  • first quadrant
  • second quadrant
Question 10
10.
The y-coordinate of a point is also called as
  • abscissa
  • x-axis
  • y-axis
  • ordinate
  • origin