CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Coordinate Geometry
Question 1
1.
    • Find the distance between the points
    • (
      (
      −
      6
      )
      ,
      8
      )
    • and
    • (
      (
      −
      3
      )
      ,
      (
      −
      2
      )
      )
  • 109

  • √

    109

  • √

    106
  • 4
    √

    109

  • √

    112
Question 2
2.
Distance of the point (6,2) from y-axis is
  • 8
  • 4
  • 6
  • 2
  • (
    −
    4
    )
Question 3
3.
    • The points
    • (
      (
      −
      5
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      7
      ,
      (
      −
      2
      )
      )
    • and
    • (
      1
      ,
      (
      −
      1
      )
      )
    • represent
  • scalene triangle
  • right angle triangle
  • collinear points
  • equilateral triangle
  • isosceles triangle
Question 4
4.
    • Find the coordinates of the mid points of the sides of the triangle formed by
    • (
      (
      −
      3
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      4
      ,
      7
      )
    • and
    • (
      7
      ,
      2
      )
    • (
      (
      −
      1
      2
      )
      ,
      1
      )
    • ,
    • (
      11
      2
      ,
      9
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      2
      )
      )
    • (
      1
      2
      ,
      0
      )
    • ,
    • (
      11
      2
      ,
      9
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      2
      )
      )
    • (
      1
      2
      ,
      0
      )
    • ,
    • (
      15
      2
      ,
      13
      2
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      2
      )
      )
    • (
      1
      2
      ,
      0
      )
    • ,
    • (
      11
      2
      ,
      9
      2
      )
    • ,
    • (
      3
      ,
      (
      −
      7
      2
      )
      )
    • (
      1
      2
      ,
      0
      )
    • ,
    • (
      11
      2
      ,
      9
      2
      )
    • ,
    • (
      0
      ,
      (
      −
      9
      2
      )
      )
Question 5
5.
    • Find the ratio in which point
    • (
      4
      3
      ,
      (
      −
      65
      9
      )
      )
    • divides the join of points
    • (
      4
      ,
      (
      −
      1
      )
      )
    • and
    • (
      1
      ,
      (
      −
      8
      )
      )
  • 9
    		:
    1
  • 7
    		:
    1
  • 8
    		:
    4
  • 8
    		:
    -1
  • 8
    		:
    1
Question 6
6.
A point lies on positive side of x-axis at a distance of 5 units from y-axis. What are the coordinates of the point?
  • (
    0
    ,
    (
    −
    5
    )
    )
  • (
    5
    ,
    0
    )
  • (
    (
    −
    5
    )
    ,
    0
    )
  • (
    0
    ,
    5
    )
Question 7
7.
    • The points
    • (
      (
      −
      4
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      0
      ,
      2
      )
    • and
    • (
      3
      ,
      (
      −
      2
      )
      )
    • represent
  • equilateral triangle
  • scalene triangle
  • collinear points
  • right angle triangle
  • isosceles right angled triangle
Question 8
8.
    • If the point
    • (
      94
      13
      ,
      86
      13
      )
    • divides the join of points
    • (
      8
      ,
      7
      )
    • and
    • (
      x
      ,
      y
      )
    • in the ratio
    • 5
      		:
      8
    • , find
    • (
      x
      ,
      y
      )
  • (
    4
    ,
    4
    )
  • (
    5
    ,
    7
    )
  • (
    7
    ,
    5
    )
  • (
    6
    ,
    6
    )
  • (
    8
    ,
    8
    )
Question 9
9.
    • If point P
    • (x,6)
    • is equidistant from the points
    • (
      (
      −
      6
      )
      ,
      8
      )
    • and
    • (
      0
      ,
      1
      )
    • , find x
  • (
    -7
    4
    		 )
  • (
    -7
    6
    		 )
  • (
    -3
    2
    		 )
  • (
    -3
    4
    		 )
  • (
    -5
    4
    		 )
Question 10
10.
    • Find the coordinates of the midpoints of the sides of the quadrilateral
    • formed by
    • (
      (
      −
      2
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      0
      )
    • and
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • (
      1
      2
      ,
      (
      −
      9
      2
      )
      )
    • ,
    • (
      1
      2
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      9
      2
      )
      ,
      (
      −
      7
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      9
      2
      )
      )
    • (
      1
      2
      ,
      (
      −
      9
      2
      )
      )
    • ,
    • (
      1
      2
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      7
      2
      )
      ,
      (
      −
      7
      2
      )
      )
    • (
      5
      2
      ,
      (
      −
      5
      2
      )
      )
    • ,
    • (
      1
      2
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      9
      2
      )
      )
    • (
      1
      2
      ,
      (
      −
      9
      2
      )
      )
    • ,
    • (
      1
      2
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      3
      2
      )
      ,
      (
      −
      5
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      9
      2
      )
      )
    • (
      1
      2
      ,
      (
      −
      9
      2
      )
      )
    • ,
    • (
      1
      2
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      3
      2
      )
      )
    • ,
    • (
      (
      −
      5
      2
      )
      ,
      (
      −
      9
      2
      )
      )