Point A (x, 5) is reflected in the origin and its image is (2, y). Write down the values of x and y.

$x = 2, y = 5$

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$x = - 2, y = - 5$

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$x = - 2, y = 5$

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None of these

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Solution

The correct option is B
$x = - 2, y = - 5$

When a point is reflected in the origin, the sign of its ordinate and abscissa changes. Hence, the coordinates of the image of A (x,5) in origin will be $(- x, - 5)$ .
Given $(- x, - 5)$ is equivalent to (2, y). Therefore, $x = - 2, y = - 5$ .

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