CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Coordinate Geometry
Question 1
1.
    • Find the area of the triangle
    • formed by the points
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      7
      )
      )
    • and
    • (
      1
      ,
      3
      )
  • 6
  • 9
  • 5
  • 7
  • 4
Question 2
2.
    • Find the lengths of the medians of a triangle whose vertices are
    • (
      7
      ,
      8
      )
    • ,
    • (
      5
      ,
      3
      )
    • and
    • (
      (
      −
      4
      )
      ,
      (
      −
      2
      )
      )
      • 1
        2

        √

        394
      • ,
      		•
        7
        2
      • ,
      		•
        25
        2
      • 1
        2

        √

        106
      • ,
      		•
        1
        2

        √

        221
      • ,
      		•
        1
        2

        √

        29
      • 1
        2

        √

        29
      • ,
      		•
        1
        2

        √

        106
      • ,
      		•
        1
        2

        √

        106
Question 3
3.
    • Find the value of k such that the points
    • (
      (
      −
      9
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      4
      )
      ,
      3
      )
    • and
    • (2,k)
    • are collinear
  • 7
  • 2
  • 3
  • 5
  • 4
Question 4
4.
A point lies on negative side of y-axis at a distance of 8 units from x-axis. What are the coordinates of the point?
  • (
    8
    ,
    0
    )
  • (
    (
    −
    8
    )
    ,
    0
    )
  • (
    0
    ,
    8
    )
  • (
    0
    ,
    (
    −
    8
    )
    )
Question 5
5.
    • Find the points on y-axis,
    • which are at a distance of
    • 18
    • units
    • from the point
    • (
      (
      −
      8
      )
      ,
      3
      )
    • (
      0
      ,
      (
      3
      +
      2

      √

      65
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      −
      2

      √

      65
      )
      )
    • (
      1
      ,
      (
      2
      +
      2

      √

      65
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      −
      2

      √

      65
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      1
      +
      2

      √

      65
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      −
      2

      √

      65
      )
      )
    • (
      0
      ,
      (
      3
      +
      2

      √

      65
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      4
      −
      2

      √

      65
      )
      )
    • (
      2
      ,
      (
      5
      +
      2

      √

      65
      )
      )
    • ,
    • (
      0
      ,
      (
      3
      −
      2

      √

      65
      )
      )
Question 6
6.
    • The points
    • (
      (
      −
      1
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      7
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      10
      ,
      0
      )
    • and
    • (
      2
      ,
      0
      )
    • represent
  • rhombus
  • parallelogram
  • rectangle
  • trapezium
  • square
Question 7
7.
    • Find the point that divides the join of points
    • (
      6
      ,
      7
      )
    • and
    • (
      1
      ,
      (
      −
      5
      )
      )
    • internally
    • in the ratio
    • 8
      		:
      4
  • (
    5
    3
    ,
    0
    )
  • (
    8
    3
    ,
    (
    −
    1
    )
    )
  • (
    14
    3
    ,
    1
    )
  • (
    2
    3
    ,
    (
    −
    3
    )
    )
  • (
    11
    3
    ,
    (
    −
    2
    )
    )
Question 8
8.
    • The mid-point of the join of points
    • (
      (
      −
      3
      )
      ,
      7
      )
    • and
    • (
      2
      ,
      6
      )
    • is
  • (
    (
    −
    5
    2
    )
    ,
    9
    2
    )
  • (
    (
    −
    1
    2
    )
    ,
    13
    2
    )
  • (
    (
    −
    3
    2
    )
    ,
    15
    2
    )
  • (
    3
    2
    ,
    17
    2
    )
  • (
    1
    2
    ,
    11
    2
    )
Question 9
9.
    • If point P
    • (
      (
      −
      7
      2
      )
      ,
      5
      2
      )
    • bisects A
    • (
      (
      −
      6
      )
      ,
      7
      )
    • and B
    • (
      x
      ,
      y
      )
    • , find
    • (
      x
      ,
      y
      )
  • (
    (
    −
    2
    )
    ,
    (
    −
    1
    )
    )
  • (
    1
    ,
    0
    )
  • (
    (
    −
    3
    )
    ,
    (
    −
    4
    )
    )
  • (
    0
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    2
    )
    )
Question 10
10.
    • If point P
    • (
      (
      −
      17
      2
      )
      ,
      5
      )
    • is equidistant from the points
    • (a,-2)
    • and
    • (
      (
      −
      3
      )
      ,
      0
      )
    • , find a
  • -7
  • -3
  • -6
  • -8
  • -5