CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Coordinate Geometry
Question 1
1.
    • In what ratio is the join of
    • (
      (
      −
      4
      )
      ,
      (
      −
      2
      )
      )
    • and
    • (
      (
      −
      5
      )
      ,
      9
      )
    • divided by the line
    • (
      −
      y
      +
      1
      		)
      =
      0
    • ?
  • 3
    		:
    8
  • 2
    		:
    8
  • 3
    		:
    5
  • 4
    		:
    8
  • 3
    		:
    10
Question 2
2.
    • The points
    • (
      (
      −
      2
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • and
    • (
      (
      −
      2
      )
      ,
      0
      )
    • represents
  • rectangle
  • square
  • trapezium
  • rhombus
  • parallelogram
Question 3
3.
    • A is a point on x-axis with abscissa
    • 2
    • and B is a point on y-axis
    • with ordinate
    • 1
    • .
    • Find the distance between A and B

  • √

    5

  • √

    2
  • 4
    √

    5
  • 5

  • √

    7
Question 4
4.
Distance of the given point from x-axis is
  • 15
  • 8
  • 7
  • 56
  • -1
Question 5
5.
    • The line
    • (
      −
      x
      +
      5
      y
      −
      14
      		)
      =
      0
    • bisects which of the following pairs of points?
    • (
      0
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • (
      (
      −
      1
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      1
      )
    • (
      (
      −
      4
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      0
      )
Question 6
6.
    • The points
    • (
      0
      ,
      3
      )
    • ,
    • (
      0
      ,
      (
      −
      3
      )
      )
    • and
    • (
      0
      ,
      (
      −
      1
      )
      )
    • represents
  • equilateral triangle
  • right angle triangle
  • collinear points
  • isoceles triangle
Question 7
7.
A point lies on positive side of x-axis at a distance of 7 units from y-axis. What are the coordinates of the point?
  • (
    (
    −
    7
    )
    ,
    0
    )
  • (
    0
    ,
    (
    −
    7
    )
    )
  • (
    0
    ,
    7
    )
  • (
    7
    ,
    0
    )
Question 8
8.
    • The mid-point of the join of the points
    • (
      x

      1
      ,
      y

      1
      )
    • and
    • (
      x

      2
      ,
      y

      2
      )
    • is
  • (
    y

    1
    		  −  
    y

    2
    2
    ,
    x

    1
    		  −  
    x

    2
    2
    )
  • (
    x

    1
    		  +  
    x

    2
    3
    ,
    y

    1
    		  +  
    y

    2
    3
    )
  • (
    x

    1
    		  −  
    x

    2
    2
    ,
    y

    1
    		  −  
    y

    2
    2
    )
  • (
    x

    1
    		  +  
    x

    2
    2
    ,
    y

    1
    		  +  
    y

    2
    2
    )
  • (
    x

    1
    		  −  
    x

    2
    3
    ,
    y

    1
    		  −  
    y

    2
    3
    )
Question 9
9.
    • The points
    • (
      (
      −
      3
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      6
      ,
      0
      )
    • and
    • (
      (
      −
      1
      )
      ,
      0
      )
    • represent
  • rhombus
  • square
  • parallelogram
  • rectangle
  • trapezium
Question 10
10.
    • The centre of a circle is
    • (
      (
      −
      11
      2
      )
      ,
      5
      2
      )
    • .
    • Find the other end of the diameter whose one end point is
    • (
      (
      −
      7
      )
      ,
      4
      )
  • (
    1
    ,
    (
    −
    4
    )
    )
  • (
    4
    ,
    (
    −
    1
    )
    )
  • (
    4
    ,
    1
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    4
    )
    ,
    1
    )