SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Coordinate Geometry
Question 1
1.
    • The mid-point of the join of points
    • (
      1
      ,
      4
      )
    • and
    • (
      (
      −
      8
      )
      ,
      (
      −
      6
      )
      )
    • is
  • (
    (
    −
    5
    2
    )
    ,
    (
    −
    2
    )
    )
  • (
    (
    −
    11
    2
    )
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    9
    2
    )
    ,
    0
    )
  • (
    (
    −
    7
    2
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    3
    2
    )
    ,
    1
    )
Question 2
2.
    • One end of the diameter of a circle is
    • (
      (
      −
      3
      )
      ,
      3
      )
    • .
    • If the centre is
    • (
      1
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • find the other end of the diameter
  • (
    6
    ,
    (
    −
    5
    )
    )
  • (
    5
    ,
    (
    −
    8
    )
    )
  • (
    3
    ,
    (
    −
    6
    )
    )
  • (
    4
    ,
    (
    −
    7
    )
    )
  • (
    2
    ,
    (
    −
    9
    )
    )
Question 3
3.
    • The points
    • (
      (
      −
      6
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      1
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      )
      )
    • and
    • (
      (
      −
      3
      )
      ,
      (
      −
      6
      )
      )
    •  
    • represent
  • rhombus
  • square
  • trapezium
  • rectangle
  • parallelogram
Question 4
4.
    • Find the point that bisects
    • (
      (
      −
      7
      )
      ,
      8
      )
    • and
    • (
      (
      −
      3
      )
      ,
      6
      )
  • (
    (
    −
    3
    )
    ,
    9
    )
  • (
    (
    −
    6
    )
    ,
    8
    )
  • (
    (
    −
    4
    )
    ,
    6
    )
  • (
    (
    −
    5
    )
    ,
    7
    )
  • (
    (
    −
    7
    )
    ,
    5
    )
Question 5
5.
    • The points
    • (
      (
      −
      4
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      6
      ,
      2
      )
    • and
    • (
      0
      ,
      2
      )
    • represent
  • rectangle
  • rhombus
  • parallelogram
  • square
  • trapezium
Question 6
6.
    • Find the coordinates of the mid points of the sides of the triangle formed by
    • (
      5
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      3
      )
      )
    • and
    • (
      5
      ,
      (
      −
      7
      )
      )
    • (
      1
      ,
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      1
      )
      )
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      6
      ,
      (
      −
      2
      )
      )
    • (
      2
      ,
      1
      )
    • ,
    • (
      4
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      1
      )
      )
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      3
      )
      )
    • (
      2
      ,
      1
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      1
      )
      )
Question 7
7.
Distance of the point (8,4) from x-axis is
  • 8
  • (
    −
    4
    )
  • 4
  • 12
Question 8
8.
    • If the point
    • (
      79
      13
      ,
      62
      13
      )
    • divides the join of points
    • (
      7
      ,
      6
      )
    • and
    • (
      x
      ,
      y
      )
    • in the ratio
    • 4
      		:
      9
    • , find
    • (
      x
      ,
      y
      )
  • (
    2
    ,
    0
    )
  • (
    6
    ,
    4
    )
  • (
    4
    ,
    2
    )
  • (
    3
    ,
    3
    )
  • (
    5
    ,
    1
    )
Question 9
9.
    • Find the relation between x and y such that the point P
    • (
      x
      ,
      y
      )
    • is equidistant from points
    • (
      (
      −
      2
      )
      ,
      (
      −
      1
      )
      )
    • and
    • (
      1
      ,
      0
      )
  • (
    2
    x
    +
    y
    +
    2
    		)
    =
    0
  • (
    3
    x
    +
    3
    y
    +
    2
    		)
    =
    0
  • (
    −
    3
    x
    −
    2
    y
    −
    5
    		)
    =
    0
  • (
    3
    x
    +
    y
    +
    2
    		)
    =
    0
  • (
    −
    3
    x
    +
    y
    −
    5
    		)
    =
    0
Question 10
10.
A field is in the shape of a trapezium whose parallel sides are 36 m and 12 m. The non parallel sides are 15 m and 15 m. Find the area of the field.
  • 219.00 sq.m
  • 228.00 sq.m
  • 201.00 sq.m
  • 198.00 sq.m
  • 216.00 sq.m