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Mathematics

The distance of the point P(-4, 3) from the y-axis is

  1. 5 units

  2. -4 units

  3. 4 units

  4. 3 units

Coordinate Geometry

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Answer

The distance between the point P(-4, 3) and y-axis can be determined by assuming a point A(0, 3) on y-axis.

By distance formula,

d=(x2x1)2+(y2y1)2AP=(40)2+(33)2AP=(4)2+0AP=16AP=4 units.\Rightarrow d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\[1em] \Rightarrow AP = \sqrt{(-4 - 0)^2 + (3 - 3)^2} \\[1em] \Rightarrow AP = \sqrt{(-4)^2 + 0} \\[1em] \Rightarrow AP = \sqrt{16} \\[1em] \Rightarrow AP = 4 \text{ units}.

Hence, Option 3 is the correct option.

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