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Mathematics

The distance of point (-4, -3) from the origin is:

  1. -10 unit

  2. 10 unit

  3. 4232\sqrt{4^2 - 3^2}

  4. none of these

Distance Formula

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Answer

Origin (O) = (0, 0) and P = (-4, -3).

By distance formula,

Distance between two points = (x2x1)2+(y2y1)2\sqrt{(x2 - x1)^2 + (y2 - y1)^2}

OP=(40)2+(30)2=(4)2+(3)2=16+9=25=5 units.OP = \sqrt{(-4 - 0)^2 + (-3 - 0)^2}\\[1em] = \sqrt{(-4)^2 + (-3)^2}\\[1em] = \sqrt{16 + 9}\\[1em] = \sqrt{25}\\[1em] = \text{5 units}.

Hence, option 4 is the correct option.

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