SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Coordinate Geometry
Question 1
1.
    • Find the set of points satisfying the equation
    		•
      y
      =
      3
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      0
      ,
      4
      )
    • ,
    • (
      2
      ,
      3
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      4
      ,
      5
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      1
      ,
      2
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      3
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      3
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      3
      )
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      1
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      3
      )
Question 2
2.
    • Two vertices of a triangle are
    • (
      7
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • and its centriod is
    • (
      2
      ,
      (
      −
      1
      )
      )
    • . Find the coordinates of the third vertex of the triangle
  • (
    (
    −
    2
    )
    ,
    4
    )
  • (
    4
    ,
    (
    −
    2
    )
    )
  • (
    2
    ,
    (
    −
    4
    )
    )
  • (
    (
    −
    2
    )
    ,
    (
    −
    4
    )
    )
  • (
    2
    ,
    4
    )
Question 3
3.
A point lies on positive side of y-axis at a distance of 6 units from x-axis. What are the coordinates of the point?
  • (
    (
    −
    6
    )
    ,
    0
    )
  • (
    0
    ,
    6
    )
  • (
    0
    ,
    (
    −
    6
    )
    )
  • (
    6
    ,
    0
    )
Question 4
4.
    • The points
    • (
      (
      −
      6
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      3
      )
      )
    • and
    • (
      0
      ,
      0
      )
    • represent
  • collinear points
  • equilateral triangle
  • isosceles right angled triangle
  • scalene triangle
  • right angle triangle
Question 5
5.
A field is in the shape of a trapezium whose parallel sides are 37 m and 10 m. The non parallel sides are 24 m and 22 m. Find the area of the field.
  • 418.40 sq.m
  • 438.40 sq.m
  • 436.40 sq.m
  • 419.40 sq.m
  • 459.40 sq.m
Question 6
6.
Which of the following is a point on the positive x-axis?
  • (
    2
    ,
    0
    )
  • (
    0
    ,
    9
    )
  • (
    0
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    3
    )
    ,
    0
    )
  • (
    (
    −
    1
    )
    ,
    7
    )
Question 7
7.
    • Find the relation between x and y if the points
    • (
      x
      ,
      y
      )
    • ,
    • (
      1
      ,
      3
      )
    • and
    • (
      (
      −
      6
      )
      ,
      (
      −
      3
      )
      )
    • are collinear
  • (
    −
    5
    x
    −
    2
    y
    +
    7
    		)
    =
    0
  • (
    −
    6
    x
    +
    7
    y
    −
    15
    		)
    =
    0
  • (
    9
    x
    −
    5
    y
    +
    39
    		)
    =
    0
  • (
    3
    x
    +
    2
    y
    −
    9
    		)
    =
    0
  • (
    4
    x
    −
    7
    y
    +
    3
    		)
    =
    0
Question 8
8.
    • Find the point that divides the join of points
    • (
      5
      ,
      (
      −
      7
      )
      )
    • and
    • (
      (
      −
      7
      )
      ,
      6
      )
    • internally
    • in the ratio
    • 9
      		:
      9
  • (
    (
    −
    1
    )
    ,
    (
    −
    1
    2
    )
    )
  • (
    0
    ,
    (
    −
    3
    2
    )
    )
  • (
    (
    −
    2
    )
    ,
    1
    2
    )
  • (
    (
    −
    3
    )
    ,
    (
    −
    5
    2
    )
    )
  • (
    1
    ,
    3
    2
    )
Question 9
9.
    • KM is the straight line of length
    • 2

      √

      5
    • units.
    • If K has the coordinates
    • (
      (
      −
      2
      )
      ,
      3
      )
    • and M has coordinates
    • (k,1)
    • ,
    • find the possible values of k
  • (
    0
    ,
    (
    −
    8
    )
    )
  • (
    1
    ,
    (
    −
    5
    )
    )
  • (
    3
    ,
    (
    −
    7
    )
    )
  • (
    4
    ,
    (
    −
    4
    )
    )
  • (
    2
    ,
    (
    −
    6
    )
    )
Question 10
10.
In △PQR, if QR = 18 cm, RP = 12 cm and perimeter = 43 cm, then area of the triangle =
  • 82.95 sq.cm
  • 80.95 sq.cm
  • 77.95 sq.cm
  • 72.95 sq.cm
  • 74.95 sq.cm