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Coordinate Geometry Test - 2

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Coordinate Geometry Test - 2
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  • Question 1
    1 / -0

    The perpendicular distance of the point (6, –5) from the x-axis is _______.

    Solution

    The perpendicular distance of the point (6, –5) from the x-axis will be y-coordinate but with a positive sign as distance is never negative.
    So, the perpendicular distance of (6, –5) from the x-axis is 5 units.

     

  • Question 2
    1 / -0

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

    Solution

    The point (0, 3) ↔ (x, y)
    Here, the x-coordinate is 0 and the y-coordinate is 3.

    ∴ The point (0, 3) lies on the positive y-axis.

     

  • Question 3
    1 / -0

    If (a, b) be any point in the Cartesian plane, then `b` is called ______.

    Solution

    The y co-ordinate is also known as ordinate and b is the y co-ordinate of point (a, b).
    So, `b` is called ordinate.

     

  • Question 4
    1 / -0

    In which of the following quadrants does the point (17, 9) lie?

    Solution

    The point is (17, 9) ↔ (x, y)

    Here, x > 0 and y > 0 and if x is positive and y is positive, then the point lies in the
    1st quadrant.

    So, point (17, 9) lies in the first quadrant.
    OR
    The sign of co-ordinate of a point is (+, +), which lies in 1st quadrant.

    So, (17, 9) lies in the first quadrant.

     

  • Question 5
    1 / -0

    On which axis does the point (8, 0) lie?

    Solution

    As the point is (8, 0)
    (8, 0) ↔ (x, y)

    Here, x-coordinate is 8 which is greater than 0 and y-coordinate is 0, and when y-coordinate is 0, then the point lies on x–axis.

    As the x-coordinate is greater than 0, the point (8, 0) lies on positive x–axis.

     

  • Question 6
    1 / -0

    The perpendicular distance of point (– 7, 9) from the y–axis is ______.

    Solution

    The perpendicular distance from y–axis of any point is x co-ordinate but distance is always positive.
    So, the perpendicular distance of (– 7, 9) from y–axis is 7 units.

     

  • Question 7
    1 / -0

    In which of the following quadrants does the point (11, – 15) lie?

    Solution

    The point is (11, – 15).

    Here, x-coordinate is 11 > 0 and y-coordinate is – 15 < 0, and the signs of the coordinates are (+, –),

    which lie in the 4th quadrant.

    So, the point (11, – 15) lies in the 4th quadrant.

     

  • Question 8
    1 / -0

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

    Solution

    When x-coordinate is 0, the point lies on the y–axis.
    ∴ The point (0, 6) lies on the positive y–axis.

     

  • Question 9
    1 / -0

    The perpendicular distance of (13, 12) from y–axis is ______.

    Solution

    The perpendicular distance from y–axis of any point is x co-ordinate, but the distance can never be negative.
    So, the perpendicular distance of (13, 12) from y–axis is 13.

     

  • Question 10
    1 / -0

    In which of the following quadrants does the point (– 7, 6) lie?

    Solution

    The point is (– 7, 6).

    Here, x co-ordinate is – 7 < 0 and y co-ordinate is 6 > 0
    i.e. x < 0 and y > 0, and when x is negative and y is positive, then the point lies in 2nd quadrant.

    So, the point (– 7, 6) lies in the 2nd quadrant.

     

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