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Coordinate Geometry Test - 2

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Coordinate Geometry Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Determine whether the given statements are true (T) or false (F) and choose the correct option accordingly:

    (i) Point (-5, -4) and point (-3, -2) lie in the same quadrant.
    (ii) A point lying on the x-axis at a distance of -4 units from the y-axis has coordinates (0, -4).
    (iii) Abscissa of a point is negative in second quadrant as well as in third quadrant.
    (iv) There are more points than one that lie on both the axes.

      (i) (ii) (iii) (iv)
    A T F F F
    B T F T F
    C F T F T
    D F T T T
    Solution

    (i) Point (-5, -4) lies in third quadrant, and point (-3, -2) also lies in third quadrant.
    (ii) A point lying on x-axis at a distance -4 units from y-axis has the coordinates (-4, 0).
    (iii) Abscissa of a point is negative in second quadrant as well as in third quadrant.
    (iv) Origin is the point where both the axes meet and there is only one origin.
    So, there is only one point that lies on both the axes.

     

  • Question 2
    1 / -0

    Fill in the blanks and choose the correct option accordingly:

    (i) The abscissa and the ordinate of a point B lie 4 units to the left of the abscissa and one unit above the ordinate, respectively, of point A (3, -2). Point B lies in _____ quadrant.
    (ii) The abscissa and the ordinate of a point lie 0.04 unit to the left of the abscissa and 0.04 unit below the ordinate, respectively, of point A (-10.96, 0.24). Point B lies in ____ quadrant.
    (iii) The abscissa and the ordinate of a point lie 20 units to the right of the abscissa and 15 units below the ordinate, respectively, of point A (-15, 0). Coordinates of point B are ______.
    (iv) Rohit moves 60 units towards east, then 30 units towards west and finally 10 units towards north. Considering his initial position to be origin, the coordinates of his final position must be ______.

      (i) (ii) (iii) (iv)
    A III II (5, -15) (30, 10)
    B IV II (5, 15) (-20, 0)
    C III IV (-5, -10) (0, 10)
    D II III (-5, -15) (20, -10)
    Solution

    (I) Coordinates of point B are (-1, -1). So, it lies in III quadrant.
    (ii) Coordinates of point B are (-11, 0.20). So, it lies in II quadrant.
    (iii) Coordinates of point B are (5, -15).
    (iv) Coordinates of Rohit's final position are (30, 10).

     

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