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Mathematics

The distance between the points A(0, 6) and B(0, -2) is

  1. 6 units

  2. 8 units

  3. 4 units

  4. 2 units

Coordinate Geometry

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Answer

By distance formula,

d=(x2x1)2+(y2y1)2AB=(00)2+(26)2=0+(8)2=64=8 units.d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\[1em] \therefore AB = \sqrt{(0 - 0)^2 + (-2 - 6)^2} \\[1em] = \sqrt{0 + (-8)^2} \\[1em] = \sqrt{64} \\[1em] = 8 \text{ units}.

Hence, Option 2 is the correct option.

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