What is the distance of point P(x, y) from the origin?

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(0,0)

x 2 + y 2

None of the above

answer is C.

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Detailed Solution

We have been given a point P(x, y).
Using the distance formula,

D = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}

The argument from the origin's coordinates are known to be (0,0).
The distance between the point (x, y) and the origin,
Substituting

x_{2} = x, x_{1} = 0, y_{2} = y, and y_{1} = 0

, in the formula,

(x − 0) 2 + (y − 0) 2 = x 2 + y 2

∴

The distance of the point

(x, y)

from the origin is

x 2 + y 2

units.
Hence, option 3 is correct.

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