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Coordinate Geometry Test - 20

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Coordinate Geometry Test - 20
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  • Question 1
    1 / -0
    The point $$(-2,-3)$$ belongs to Quadrant _______________
    Solution
    For the point $$(-2, -3)$$, both the $$x$$-coordinate $$= -2$$ and $$y$$-coordinate $$= -3$$ are negative.
    Hence the point will lie in the quadrant $$III$$.

  • Question 2
    1 / -0
    The point $$(0,-2)$$ lies on:
    Solution
    Given, $$(0,-2)$$.
    Since the $$x$$-coordinate is $$0$$, the point clearly lies on $$y$$-axis.
    Also, the $$y$$-coordinate $$-2$$ being negative, the point lies on the negative $$y$$-axis.


    Therefore, option $$D$$ is correct.

  • Question 3
    1 / -0
    The coordinates of a point, which lies on $$y$$-axis and is at a distance of $$4$$ units above $$x$$-axis is ____.
    Solution
    Let the required point be $$P$$.
    Given, the point lies on $$y$$-axis.
    Then, its abscissa is $$0$$ or $$x = 0$$.
    Also, given the point is at a distance of $$4$$ units above the $$x$$-axis,
    So, its ordinate will be $$+4$$.
    Hence, the co-ordinates of the required point are $$(0,4)$$. 
    Therefore, option $$A$$ is correct.
  • Question 4
    1 / -0
    The coordinates of a point, which lies on $$x$$-axis and is at a distance of $$7$$ units to the right of the origin is ____.
    Solution

    Let the required point be $$P$$.

    Given, the point lies on $$x$$-axis.

    Then, its ordinate is $$0$$ or $$y = 0$$.

    Also, given the point is at a distance of $$7$$ units to the right of origin.

    So, its abscissa will be $$+7$$.
    Hence, the co-ordinates of the required point are $$(7,0)$$. 

    Therefore, option $$C$$ is correct.
  • Question 5
    1 / -0
    The coordinates of a point lies on $$y$$-axis and is at a distance of $$6$$ units below $$x$$-axis is ______.
    Solution

    Let the required point be $$P$$.

    Given, the point lies on $$y$$-axis.

    Then, its abscissa is $$0$$ or $$x = 0$$.

    Also, given the point is at a distance of $$6$$ units below the $$x$$-axis,

    So, its ordinate will be $$-6$$.
    Hence, the co-ordinates of the required point are $$(0,-6)$$. 

    Therefore, option $$C$$ is correct.
  • Question 6
    1 / -0
    The coordinates of a point, lies on $$x$$-axis and is at a distance of $$3$$ units to the left of the origin is _____.
    Solution

    Let the required point be $$P$$.

    Given, the point lies on $$x$$-axis.

    Then, its ordinate is $$0$$ or $$y = 0$$.

    Also, given the point is at a distance of $$3$$ units to the left of the origin.

    So, its abscissa will be $$-3$$.
    Hence, the co-ordinates of the required point are $$(-3,0)$$. 

    Therefore, option $$A$$ is correct.
  • Question 7
    1 / -0
    See figure and complete the following statements.
    The x-coordinate and y-coordinate of the point $$M$$ are _______ and _______ respectively. Hence the coordinate of $$M$$ are 

    Solution
    The point M is at a distance of 4 units from the x - axis and 3 units from the y - axis. 
    It lies in the II quadrant.
    Hence, the abscissa or the x-coordinate is $$-3$$, ordinate or the y-coordinate is $$4$$. 
    The point M is $$(-3,4)$$
  • Question 8
    1 / -0
    The point $$(3,0)$$ lies on:
    Solution
    Given, $$(3,0)$$.
    Since the $$y$$-coordinate is $$0$$, the point clearly, lies on $$x$$-axis.
    Also, the $$x$$-coordinate $$3$$ being positive, the point lies on the positive $$x$$-axis.


    Therefore, option $$A$$ is correct.

  • Question 9
    1 / -0
    If the point $$P$$ lies on the line $$y = 7$$ and has its abscissa equal to $$-2$$, then its coordinates are ______.
    Solution
    Let the required point be $$P$$.
    Given, point $$P$$ lies on the line $$y = 7$$ and has its abscissa equal to $$-2$$.
    We know, any point lying on the line $$y=7$$
     will always have its ordinate $$= 7$$.
    Therefore, coordinates of $$P = (-2, 7)$$.
    Hence, option $$C$$ is correct.
  • Question 10
    1 / -0
    Observe the given figure and complete the following statement.
    The $$x$$-coordinate and $$y$$-coordinate of the point $$S$$ are ______ and ______ respectively. Hence the coordinate of $$S$$ is ______.

    Solution
    The point $$S$$ is at a distance of $$4$$ units from the $$x$$ - axis and $$3$$ units from the $$y$$ - axis., and it lies in the $$4^{th}$$ quadrant.

    So, the abscissa or the $$x$$-coordinate is $$3$$ and ordinate or the $$y$$-coordinate is $$-4$$. 

    Thus, the coordinate of the point $$S$$ is $$(3,-4)$$.

    Hence, $$Op-D$$ is correct.
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