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Coordinate Geometry

Question

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Find the distance of a point P(x, y) from the origin.

Solution

Given point is P(x,y)

Origin point is O (0,0)

Using distance formula

$P O = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(x - 0)^{2} + (y - 0)^{2}} = \sqrt{x^{2} + y^{2}}$

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