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Coordinate Geometry Test - 3

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Coordinate Geometry Test - 3
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  • Question 1
    1 / -0

    On which axis does the point (7, 0) lie?

    Solution

    As the point is (7, 0),
    (7, 0) ↔ (x, y)
    Here, x co-ordinate is 7 which is positive and y co-ordinate is 0,
    and when y co-ordinate is 0, then the point lies on x–axis.
    So, the point (7, 0) lies on positive x–axis.

     

  • Question 2
    1 / -0

    The perpendicular distance of (- 2, - 4) from the x-axis is ______.

    Solution

    The perpendicular distance of a point (- 2, - 4) from x-axis will be y co-ordinate but with a positive sign, as the distance is never negative.
    So, the perpendicular distance of (- 2, - 4) from x-axis is 4 units.

     

  • Question 3
    1 / -0

    On which axis does the point (0, – 3) lie?

    Solution

    The point is (0, – 3).
    Here, y co-ordinate is – 3, which is negative
    and when x co-ordinate is zero, then the point lies on y-axis.
    So, the point (0, – 3) lies on the negative y-axis.

     

  • Question 4
    1 / -0

    In which of the following quadrants does the point (– 2, 5) lie?

    Solution

    The point is (– 2, 5).

    Here, x-co-ordinate is – 2 < 0 and y co-ordinate is 5 > 0.
    And when x < 0 and y > 0 in the point (x, y), then the point lies in the second quadrant.

    So, the point (– 2, 5) lies in the 2nd quadrant.
    OR

    The signs of the co-ordinates of point are (–, +), which lies in the 2nd quadrant.

    So, the point (– 2, 5) lies in the 2nd quadrant.

     

  • Question 5
    1 / -0

    The perpendicular distance of (11, –9) from the x–axis is

    Solution

    The perpendicular distance of the point (11, –9) from the x-axis will be y coordinate of the point, but with a positive sign as the distance is never negative.
    So, the perpendicular distance of (11, –9) from the x-axis is 9 units.

     

  • Question 6
    1 / -0

    In which of the following quadrants does the point (7, 3) lie?

    Solution

    The point is (7, 3) ↔ (x, y)
    Here, x > 0 and y > 0,
    and when x > 0 and y > 0, the point (x, y) lies in the first quadrant.
    Then, the point (7, 3) lies in the 1st quadrant.

     

     

  • Question 7
    1 / -0

    On which axis does the point (6, 0) lie?

    Solution

    As the point is (6, 0),
    (6, 0) ↔ (x, y)
    Here, x co-ordinate is 6, which is positive and y co-ordinate is 0.
    When y co-ordinate of a point is 0, then the point lies on x-axis.

    So, the point (6, 0) lies on positive x-axis.

     

  • Question 8
    1 / -0

    In which of the following quadrants does the point (4, – 8) lie?

    Solution

    The point is (4, – 8).

    Here, x co-ordinate is 4 > 0 and y co-ordinate is – 8 < 0.
    When x > 0 and y < 0, then the point (x, y) lies in the 4th quadrant.

    So, the point (4, – 8) lies in the fourth quadrant.
    OR
    The signs of co-ordinates of point are (+, –), which lies in the 4th quadrant.

    So, the point (4, – 8) lies in the 4th quadrant.

     

  • Question 9
    1 / -0

    In which of the following quadrants does the point (– 7, – 9) lie?

    Solution

    The point is (– 7, – 9).

    Here, x co-ordinate is – 7, which is negative
    and y co-ordinate is – 9, which is also negative.

    When x < 0 and y < 0, then the point (x, y) lies in the third quadrant.

    So, the point (– 7, – 9) lies in the third quadrant.
    OR
    The signs of co-ordinates of the point are (–, –), which lies in the 3rd quadrant.

    So, the point (– 7, – 9) lies in the third quadrant.

     

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