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Question

What are the resultant coordinates of (x, y) when it is reflected through the origin?


A

(-x, y)

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B

(x, -y)

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C

(-x, -y)

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D

(0, -y)

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Solution

The correct option is C

(-x, -y)


When reflected through the origin, both the coordinates will change their sign i.e. (x, y) becomes (-x, -y) or (-x, -y) becomes (x, y) depending upon the sign. For an example, if we have, the coordinates (-2, 6) its reflection through the origin gives us (2, -6) as a resultant point.


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