SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Coordinate Geometry
Question 1
1.
    • Find the point that divides the join of points
    • (
      (
      −
      7
      )
      ,
      4
      )
    • and
    • (
      6
      ,
      (
      −
      1
      )
      )
    • internally
    • in the ratio
    • 3
      		:
      9
  • (
    (
    −
    15
    4
    )
    ,
    11
    4
    )
  • (
    (
    −
    19
    4
    )
    ,
    15
    4
    )
  • (
    (
    −
    23
    4
    )
    ,
    3
    4
    )
  • (
    (
    −
    7
    4
    )
    ,
    19
    4
    )
  • (
    (
    −
    11
    4
    )
    ,
    7
    4
    )
Question 2
2.
    • Find the relation between x and y if the points
    • (
      x
      ,
      y
      )
    • ,
    • (
      5
      ,
      (
      −
      2
      )
      )
    • and
    • (
      4
      ,
      (
      −
      1
      )
      )
    • are collinear
  • (
    6
    x
    −
    y
    −
    32
    		)
    =
    0
  • (
    6
    x
    +
    7
    y
    −
    17
    		)
    =
    0
  • (
    x
    +
    y
    −
    3
    		)
    =
    0
  • (
    x
    +
    9
    y
    −
    42
    		)
    =
    0
  • (
    5
    x
    −
    2
    y
    −
    22
    		)
    =
    0
Question 3
3.
    • If point P
    • (
      7
      ,
      0
      )
    • bisects A
    • (
      6
      ,
      (
      −
      6
      )
      )
    • and B
    • (
      x
      ,
      y
      )
    • , find
    • (
      x
      ,
      y
      )
  • (
    6
    ,
    4
    )
  • (
    8
    ,
    6
    )
  • (
    7
    ,
    7
    )
  • (
    9
    ,
    5
    )
  • (
    10
    ,
    8
    )
Question 4
4.
    • Find the point on x-axis which is equidistant
    • from the points
    • (
      6
      ,
      7
      )
    • and
    • (
      (
      −
      1
      )
      ,
      2
      )
  • (
    40
    7
    ,
    0
    )
  • (
    54
    7
    ,
    2
    )
  • (
    47
    7
    ,
    (
    −
    1
    )
    )
  • (
    33
    7
    ,
    1
    )
  • (
    26
    7
    ,
    (
    −
    2
    )
    )
Question 5
5.
Identify the point belonging to the fourth quadrant
  • (
    (
    −
    7
    )
    ,
    4
    )
  • (
    7
    ,
    (
    −
    9
    )
    )
  • (
    8
    ,
    4
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    8
    )
    )
Question 6
6.
Which of the points (8,2), (-9,6), (-6,-6) and (2,-8) belong to the first quadrant?
  • (
    (
    −
    9
    )
    ,
    6
    )
  • (
    8
    ,
    2
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    6
    )
    )
  • (
    2
    ,
    (
    −
    8
    )
    )
Question 7
7.
Determine the coordinates of point Z in the diagram.
  • (
    (
    −
    3
    )
    ,
    4
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    3
    )
    )
  • (
    4
    ,
    (
    −
    3
    )
    )
  • (
    4
    ,
    3
    )
  • (
    (
    −
    4
    )
    ,
    3
    )
Question 8
8.
A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 17 cm, 13 cm and 28 cm, and the parallelogram stands on the base 13 cm, find the height of the parallelogram
  • 5.74 cm
  • 7.74 cm
  • 6.74 cm
  • 3.74 cm
  • 4.74 cm
Question 9
9.
    • Find the set of points satisfying the equation
    • (
      −
      16
      x
      +
      y
      −
      120
      		)
      =
      0
    • (
      (
      −
      2
      )
      ,
      88
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      104
      )
    • ,
    • (
      0
      ,
      120
      )
    • ,
    • (
      1
      ,
      136
      )
    • ,
    • (
      2
      ,
      152
      )
    • (
      (
      −
      2
      )
      ,
      88
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      104
      )
    • ,
    • (
      0
      ,
      120
      )
    • ,
    • (
      0
      ,
      137
      )
    • ,
    • (
      2
      ,
      152
      )
    • (
      (
      −
      2
      )
      ,
      88
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      104
      )
    • ,
    • (
      1
      ,
      119
      )
    • ,
    • (
      1
      ,
      136
      )
    • ,
    • (
      2
      ,
      152
      )
    • (
      (
      −
      2
      )
      ,
      88
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      104
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      118
      )
    • ,
    • (
      1
      ,
      136
      )
    • ,
    • (
      2
      ,
      152
      )
    • (
      (
      −
      2
      )
      ,
      88
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      104
      )
    • ,
    • (
      0
      ,
      120
      )
    • ,
    • (
      1
      ,
      136
      )
    • ,
    • (
      4
      ,
      154
      )
Question 10
10.
Any line parallel to y-axis is
  • an oblique line
  • a vertical line
  • a curved line
  • a horizontal line