SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Coordinate Geometry
Question 1
1.
    • Find the ratio in which point
    • (
      (
      −
      19
      8
      )
      ,
      9
      2
      )
    • divides the join of points
    • (
      (
      −
      5
      )
      ,
      (
      −
      6
      )
      )
    • and
    • (
      (
      −
      2
      )
      ,
      6
      )
  • 7
    		:
    4
  • 6
    		:
    1
  • 8
    		:
    1
  • 7
    		:
    -1
  • 7
    		:
    1
Question 2
2.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 30 cm, what is its area ?
  • 48.30 sq.cm
  • 40.30 sq.cm
  • 38.30 sq.cm
  • 46.30 sq.cm
  • 43.30 sq.cm
Question 3
3.
    • The points
    • (
      4
      ,
      3
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • and
    • (
      (
      3
      2
      +
      5
      2

      √

      3
      )
      ,
      (
      1
      2
      −
      5
      2

      √

      3
      )
      )
    • represent
  • right angled triangle
  • equilateral triangle
  • scalene triangle
  • isosceles triangle
Question 4
4.
    • Find the coordinates of the mid points of the sides of the triangle formed by
    • (
      (
      −
      7
      )
      ,
      7
      )
    • ,
    • (
      4
      ,
      5
      )
    • and
    • (
      (
      −
      8
      )
      ,
      1
      )
    • (
      (
      −
      3
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      13
      2
      )
      ,
      3
      )
    • (
      (
      −
      3
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      15
      2
      )
      ,
      4
      )
    • (
      (
      −
      3
      2
      )
      ,
      6
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      19
      2
      )
      ,
      2
      )
    • (
      (
      −
      3
      2
      )
      ,
      6
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      (
      −
      15
      2
      )
      ,
      4
      )
    • (
      (
      −
      5
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      15
      2
      )
      ,
      4
      )
Question 5
5.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        5
        4
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        3
        4
        )
      • ,
      • (
        0
        ,
        1
        4
        )
      • ,
      • (
        1
        ,
        (
        −
        1
        4
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        3
        4
        )
        )
    • ?
  • (
    −
    8
    x
    −
    10
    y
    −
    52
    		)
    =
    0
  • y
    =
    3
  • y
    =
    (
    −
    4
    5
    x
    +
    7
    5
    		)
  • x
    =
    (
    −
    2
    		)
  • (
    2
    x
    +
    4
    y
    −
    1
    		)
    =
    0
Question 6
6.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      10
      x
      −
      51
      		)
    • (
      (
      −
      2
      )
      ,
      (
      −
      71
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      61
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      53
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      31
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      71
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      61
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      51
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      40
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      31
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      71
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      61
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      51
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      29
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      71
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      61
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      51
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      31
      )
      )
    • (
      (
      −
      2
      )
      ,
      (
      −
      71
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      61
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      52
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      41
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      31
      )
      )
Question 7
7.
In a coordinate geometry plane, the vertical reference line is called
  • abscissa
  • origin
  • ordinate
  • x-axis
  • y-axis
Question 8
8.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      1
      		)
      • line with point
      • T
      • line with point
      • U
      • line with point
      • W
      • line with point
      • S
      • line with point
      • V
Question 9
9.
    • Which of the following lines do not pass through the origin?
  • (
    4
    x
    −
    y
    		)
    =
    0
  • (
    −
    8
    x
    +
    2
    y
    		)
    =
    0
  • (
    −
    x
    −
    3
    y
    		)
    =
    0
  • (
    7
    x
    +
    4
    y
    		)
    =
    0
  • (
    3
    x
    +
    5
    y
    +
    46
    		)
    =
    0
Question 10
10.
Determine the quadrant of the displayed point
  • fourth quadrant
  • first quadrant
  • second quadrant
  • third quadrant