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 quadrilateral formed by
    • (
      (
      −
      4
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      6
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      6
      )
    • and
    • (
      (
      −
      7
      )
      ,
      3
      )
  • 43
    2
  • 45
    4
  • 47
    2
  • 45
  • 45
    2
Question 2
2.
    • The points
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      8
      ,
      1
      )
    • and
    • (
      2
      ,
      1
      )
    • represent
  • rectangle
  • parallelogram
  • square
  • trapezium
  • rhombus
Question 3
3.
    • The points
    • (
      7
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      4
      )
    • and
    • (
      (
      2
      −
      11
      2

      √

      3
      )
      ,
      (
      −
      3
      2
      −
      5

      √

      3
      )
      )
    • represent
  • isosceles triangle
  • equilateral triangle
  • scalene triangle
  • right angled triangle
Question 4
4.
    • Find the ratio in which point
    • (
      77
      17
      ,
      53
      17
      )
    • divides the join of points
    • (
      5
      ,
      5
      )
    • and
    • (
      4
      ,
      1
      )
  • 7
    		:
    9
  • 8
    		:
    9
  • 8
    		:
    6
  • 8
    		:
    12
  • 9
    		:
    9
Question 5
5.
    • The points
    • (
      0
      ,
      1
      )
    • ,
    • (
      3
      ,
      (
      −
      1
      )
      )
    • and
    • (
      (
      −
      1
      )
      ,
      (
      −
      15
      4
      )
      )
    •  
    • represent
  • scalene triangle
  • right angle triangle
  • isosceles triangle
  • collinear points
  • equilateral triangle
Question 6
6.
    • Find the coordinates of the points of trisection of the line segment
    • joining the points
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      )
      )
    • and
    • (
      1
      ,
      (
      −
      3
      )
      )
    • (
      (
      −
      7
      3
      )
      ,
      (
      −
      17
      3
      )
      )
    • ,
    • (
      1
      3
      ,
      (
      −
      10
      3
      )
      )
    • (
      (
      −
      1
      3
      )
      ,
      (
      −
      11
      3
      )
      )
    • ,
    • (
      (
      −
      2
      3
      )
      ,
      (
      −
      7
      3
      )
      )
    • (
      (
      −
      1
      3
      )
      ,
      (
      −
      11
      3
      )
      )
    • ,
    • (
      1
      3
      ,
      (
      −
      10
      3
      )
      )
    • (
      2
      3
      ,
      (
      −
      14
      3
      )
      )
    • ,
    • (
      1
      3
      ,
      (
      −
      10
      3
      )
      )
    • (
      5
      3
      ,
      (
      −
      5
      3
      )
      )
    • ,
    • (
      1
      3
      ,
      (
      −
      10
      3
      )
      )
Question 7
7.
    • Find the coordinates of the midpoints of the sides of the quadrilateral
    • formed by
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      2
      ,
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      6
      )
    • and
    • (
      (
      −
      4
      )
      ,
      4
      )
    • (
      3
      2
      ,
      7
      2
      )
    • ,
    • (
      0
      ,
      9
      2
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      7
      2
      )
      ,
      2
      )
    • (
      (
      −
      1
      2
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      9
      2
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      9
      2
      )
      ,
      3
      )
    • (
      (
      −
      1
      2
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      9
      2
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      7
      2
      )
      ,
      2
      )
    • (
      (
      −
      1
      2
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      9
      2
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      7
      2
      )
      ,
      2
      )
    • (
      (
      −
      1
      2
      )
      ,
      3
      2
      )
    • ,
    • (
      0
      ,
      9
      2
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      7
      2
      )
      ,
      2
      )
Question 8
8.
    • The points
    • (
      (
      −
      2
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      3
      )
      )
    • and
    • (
      5
      ,
      (
      −
      7
      )
      )
    • represent
  • collinear points
  • isosceles right angled triangle
  • right angle triangle
  • equilateral triangle
  • scalene triangle
Question 9
9.
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?
  • (
    0
    ,
    (
    −
    8
    )
    )
  • (
    (
    −
    8
    )
    ,
    0
    )
  • (
    0
    ,
    8
    )
  • (
    8
    ,
    0
    )
Question 10
10.
    • Find the distance of the point
    • (
      6
      ,
      (
      −
      4
      )
      )
    • from origin
  • 26
  • 2

    √

    15
  • 2

    √

    11
  • 2
    4
    √

    13
  • 2

    √

    13