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
      )
    • ,
    • (
      8
      ,
      5
      )
    • and
    • (
      0
      ,
      3
      )
  • 2
  • 3
  • 0
  • 1
  • 5
Question 2
2.
Distance of the point (7,6) from y-axis is
  • (
    −
    1
    )
  • 13
  • 1
  • 7
  • 6
Question 3
3.
    • The points
    • (
      (
      −
      1
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      6
      ,
      (
      −
      6
      )
      )
    • and
    • (
      6
      ,
      (
      −
      1
      )
      )
    • represent
  • collinear points
  • scalene triangle
  • isosceles right angled triangle
  • right angle triangle
  • equilateral triangle
Question 4
4.
    • Find the area of the quadrilateral formed by
    • (
      (
      −
      6
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      4
      )
    • and
    • (
      (
      −
      8
      )
      ,
      4
      )
  • 10
  • 15
  • 13
  • 11
  • 12
Question 5
5.
    • Find the points on x-axis,
    • which are at a distance of
    • 5
    • units
    • from the point
    • (
      1
      ,
      1
      )
    • (
      (
      1
      +
      2

      √

      6
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      2

      √

      6
      )
      ,
      1
      )
    • (
      (
      1
      +
      2

      √

      6
      )
      ,
      0
      )
    • ,
    • (
      (
      1
      −
      2

      √

      6
      )
      ,
      0
      )
    • (
      (
      2
      +
      2

      √

      6
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      1
      −
      2

      √

      6
      )
      ,
      0
      )
    • (
      (
      −
      1
      +
      2

      √

      6
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      1
      −
      2

      √

      6
      )
      ,
      0
      )
    • (
      (
      3
      +
      2

      √

      6
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      −
      2

      √

      6
      )
      ,
      0
      )
Question 6
6.
    • One end of the diameter of a circle is
    • (
      (
      −
      6
      )
      ,
      5
      )
    • .
    • If the centre is
    • (
      (
      −
      3
      2
      )
      ,
      5
      )
    • ,
    • find the other end of the diameter
  • (
    2
    ,
    6
    )
  • (
    1
    ,
    3
    )
  • (
    4
    ,
    4
    )
  • (
    3
    ,
    5
    )
  • (
    5
    ,
    7
    )
Question 7
7.
    • In what ratio is the join of
    • (
      (
      −
      2
      )
      ,
      6
      )
    • and
    • (
      (
      −
      3
      )
      ,
      (
      −
      7
      )
      )
    • divided by x-axis?
  • 7
    		:
    7
  • 5
    		:
    7
  • 4
    		:
    10
  • 4
    		:
    5
  • 6
    		:
    7
Question 8
8.
    • The centre of a circle is
    • (
      5
      2
      ,
      (
      −
      1
      )
      )
    • .
    • Find the other end of the diameter whose one end point is
    • (
      4
      ,
      1
      )
  • (
    1
    ,
    3
    )
  • (
    1
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    1
    )
    ,
    3
    )
  • (
    (
    −
    3
    )
    ,
    1
    )
Question 9
9.
    • If point P
    • (x,3)
    • is equidistant from the points
    • (
      0
      ,
      1
      )
    • and
    • (
      (
      −
      3
      )
      ,
      (
      −
      8
      )
      )
    • , find x
  • -21
  • -18
  • -20
  • -22
  • -23
Question 10
10.
A point lies on positive side of x-axis at a distance of 1 units from y-axis. What are the coordinates of the point?
  • (
    (
    −
    1
    )
    ,
    0
    )
  • (
    1
    ,
    0
    )
  • (
    0
    ,
    1
    )
  • (
    0
    ,
    (
    −
    1
    )
    )