CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Coordinate Geometry
Question 1
1.
    • Find the relation between x and y if the points
    • (
      x
      ,
      y
      )
    • ,
    • (
      7
      ,
      8
      )
    • and
    • (
      6
      ,
      (
      −
      2
      )
      )
    • are collinear
  • (
    −
    10
    x
    +
    y
    +
    62
    		)
    =
    0
  • (
    −
    5
    x
    +
    11
    y
    +
    52
    		)
    =
    0
  • (
    −
    13
    x
    +
    3
    y
    +
    67
    		)
    =
    0
  • (
    −
    2
    x
    +
    9
    y
    +
    53
    		)
    =
    0
  • (
    −
    3
    x
    +
    2
    y
    +
    22
    		)
    =
    0
Question 2
2.
    • Three vertices of a parallelogram are
    • (
      (
      −
      5
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
    • and
    • (
      4
      ,
      (
      −
      1
      )
      )
    • .
    • Find the fourth vertex
  • (
    (
    −
    3
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    4
    )
    ,
    0
    )
  • (
    (
    −
    2
    )
    ,
    (
    −
    2
    )
    )
  • (
    (
    −
    5
    )
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    1
    )
    ,
    1
    )
Question 3
3.
    • Find the value of k such that the points
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      121
      16
      )
      ,
      (
      −
      1
      )
      )
    • and
    • (-7,k)
    • are collinear
  • 8
  • 9
  • 7
  • 10
  • 6
Question 4
4.
    • The points
    • (
      2
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      6
      )
    • and
    • (
      10
      13
      ,
      (
      −
      30
      13
      )
      )
    • represents
  • equilateral triangle
  • right angle triangle
  • isoceles triangle
  • collinear points
Question 5
5.
    • Find the ratio in which point
    • (
      9
      2
      ,
      11
      4
      )
    • divides the join of points
    • (
      8
      ,
      2
      )
    • and
    • (
      (
      −
      6
      )
      ,
      5
      )
  • 4
    		:
    9
  • 3
    		:
    9
  • 3
    		:
    12
  • 2
    		:
    9
  • 3
    		:
    7
Question 6
6.
    • Find the centre of the circle, the endpoints of whose
    • diameter are
    • (
      (
      −
      6
      )
      ,
      (
      −
      2
      )
      )
    • and
    • (
      4
      ,
      5
      )
  • (
    1
    ,
    3
    2
    )
  • (
    1
    ,
    (
    −
    3
    2
    )
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    3
    2
    )
    )
  • (
    (
    −
    1
    )
    ,
    3
    2
    )
  • (
    3
    2
    ,
    (
    −
    1
    )
    )
Question 7
7.
    • Find the coordinates of the points of trisection of the line segment
    • joining the points
    • (
      (
      −
      3
      )
      ,
      7
      )
    • and
    • (
      0
      ,
      6
      )
    • (
      (
      −
      1
      )
      ,
      17
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      3
      )
    • (
      (
      −
      2
      )
      ,
      20
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      22
      3
      )
    • (
      (
      −
      4
      )
      ,
      14
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      3
      )
    • (
      0
      ,
      26
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      3
      )
    • (
      (
      −
      2
      )
      ,
      20
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      19
      3
      )
Question 8
8.
    • If point P
    • (x,6)
    • is equidistant from the points
    • (
      (
      −
      6
      )
      ,
      (
      −
      5
      )
      )
    • and
    • (
      3
      ,
      0
      )
    • , find x
  • (
    -44
    7
    		 )
  • -6
  • (
    -68
    11
    		 )
  • (
    -56
    9
    		 )
  • (
    -58
    9
    		 )
Question 9
9.
    • The points
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      7
      ,
      (
      −
      4
      )
      )
    • and
    • (
      7
      ,
      (
      −
      1
      )
      )
    • represent
  • equilateral triangle
  • right angle triangle
  • scalene triangle
  • isosceles right angled triangle
  • collinear points
Question 10
10.
Distance of the point (6,1) from y-axis is
  • (
    −
    5
    )
  • 5
  • 7
  • 1
  • 6