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Mathematics

The distance between the points (0, 5) and (-5, 0) is

  1. 5 units

  2. 525\sqrt{2} units

  3. 252\sqrt{5} units

  4. 10 units

Coordinate Geometry

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Answer

Let, A = (0, 5) and B = (-5, 0).

By distance formula,

d=(x2x1)2+(y2y1)2AB=(50)2+(05)2=(5)2+(5)2=25+25=50=52 units.d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\[1em] \therefore AB = \sqrt{(-5 - 0)^2 + (0 - 5)^2} \\[1em] = \sqrt{(-5)^2 + (-5)^2} \\[1em] = \sqrt{25 + 25} \\[1em] = \sqrt{50} \\[1em] = 5\sqrt{2}\text{ units}.

Hence, Option 2 is the correct option.

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