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Mathematics

Find the distance of each of the following points from x-axis and y-axis :

(i) A(7, 4)

(ii) B(3, -5)

(iii) C(-4, -2)

(iv) D(-3, 6)

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Answer

We know that,

Distance from the x-axis is the absolute value of the y-coordinate : |y|.

Distance from the y-axis is the absolute value of the x-coordinate : |x|.

(i) A(7, 4)

Distance from x-axis : |4| = 4 units and distance from y-axis : |7| = 7 units.

Hence, distance from x-axis and y-axis of the point A (7, 4) are 4 units and 7 units respectively.

(ii) B(3, -5)

Distance from x-axis: |-5| = 5 units and distance from y-axis : |3| = 3 units

Hence, distance from x-axis and y-axis of point B(3, -5) are 5 units and 3 units respectively.

(iii) C(-4, -2)

Distance from x-axis: |-2| = 2 units

Distance from y-axis: |-4| = 4 units

Hence, distance from x-axis and y-axis of point C(-4, -2) are 2 units and 4 units respectively.

(iv) D(-3, 6)

Distance from x-axis : |6| = 6 units and distance from y-axis : |-3| = 3 units

Hence, distance from x-axis and y-axis of point D(-3, 6) are 6 units and 3 units respectively.

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