SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Coordinate Geometry
Question 1
1.
    • A and B are two points on the x-axis and y-axis respectively.
    • If
    • (
      (
      −
      6
      )
      ,
      3
      )
    • is the mid-point of the join of A and B, find A and B
    • (
      (
      −
      12
      )
      ,
      0
      )
    • ,
    • (
      0
      ,
      6
      )
    • (
      (
      −
      12
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      )
    • (
      (
      −
      14
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      0
      ,
      6
      )
    • (
      (
      −
      10
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      6
      )
    • (
      (
      −
      11
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      0
      ,
      6
      )
Question 2
2.
    • The points
    • (
      2
      ,
      6
      )
    • ,
    • (
      3
      ,
      4
      )
    • and
    • (
      1
      2
      ,
      4
      )
    •  
    • represent
  • equilateral triangle
  • collinear points
  • right angle triangle
  • isosceles triangle
  • scalene triangle
Question 3
3.
Distance of the given point from x-axis is
  • 42
  • 13
  • 1
  • 7
  • 6
Question 4
4.
In △PQR, if QR = 17 cm, RP = 19 cm, PQ = 15 cm, then area of the triangle =
  • 123.63 sq.cm
  • 105.63 sq.cm
  • 98.63 sq.cm
  • 148.63 sq.cm
  • 121.63 sq.cm
Question 5
5.
Distance of the point (2,4) from y-axis is
  • 4
  • 2
  • (
    −
    2
    )
  • 6
Question 6
6.
    • If the point
    • (
      7
      5
      ,
      7
      5
      )
    • divides the join of points
    • (
      (
      −
      1
      )
      ,
      8
      )
    • and
    • (
      x
      ,
      y
      )
    • in the ratio
    • 6
      		:
      4
    • , find
    • (
      x
      ,
      y
      )
  • (
    2
    ,
    (
    −
    2
    )
    )
  • (
    5
    ,
    (
    −
    1
    )
    )
  • (
    3
    ,
    (
    −
    3
    )
    )
  • (
    4
    ,
    (
    −
    4
    )
    )
  • (
    1
    ,
    (
    −
    5
    )
    )
Question 7
7.
    • Two vertices of a triangle are
    • (
      (
      −
      7
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      1
      )
    • and its centriod is
    • (
      (
      −
      13
      3
      )
      ,
      (
      −
      1
      )
      )
    • . Find the coordinates of the third vertex of the triangle
  • (
    (
    −
    3
    )
    ,
    4
    )
  • (
    3
    ,
    4
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    3
    )
    )
  • (
    (
    −
    3
    )
    ,
    (
    −
    4
    )
    )
  • (
    3
    ,
    (
    −
    4
    )
    )
Question 8
8.
    • The point
    • (
      (
      −
      3
      )
      ,
      (
      −
      5
      )
      )
    • lies in
  • first quadrant
  • third quadrant
  • fourth quadrant
  • second quadrant
Question 9
9.
    • Find the area of the quadrilateral formed by
    • (
      (
      −
      5
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      7
      )
    • and
    • (
      (
      −
      7
      )
      ,
      4
      )
  • 33
    2
  • 35
    4
  • 35
  • 37
    2
  • 35
    2
Question 10
10.
    • Find the value of k such that the points
    • (
      (
      −
      6
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      9
      2
      )
      ,
      7
      2
      )
    • and
    • (k,6)
    • are collinear
  • -2
  • -3
  • 0
  • -4
  • -6