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Mathematics

The distance of the point P(2, 3) from the x-axis is

  1. 2 units

  2. 3 units

  3. 1 unit

  4. 5 units

Coordinate Geometry

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Answer

The distance between the point P(2, 3) and x-axis can be determined by assuming a point A(2, 0) on x-axis.

By distance formula,

d=(x2x1)2+(y2y1)2AP=(22)2+(30)2AP=0+32AP=9AP=3 units.\Rightarrow d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\[1em] \Rightarrow AP = \sqrt{(2 - 2)^2 + (3 - 0)^2} \\[1em] \Rightarrow AP = \sqrt{0 + 3^2} \\[1em] \Rightarrow AP = \sqrt{9} \\[1em] \Rightarrow AP = 3 \text{ units}.

Hence, Option 2 is the correct option.

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