A point P (3, 5) is reflected in line y + 4 = 0 to form the image P'. Find the coordinates of P'.

(3, -12)

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(3, -11)

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(3, -10)

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(3, -13)

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Solution

The correct option is D
(3, -13)

Here y = -4 acts as the mirror, Using midpoint formula

$\frac{y + 5}{2} = - 4$

$\Rightarrow$ $y = - 13$

Hence P' = (3, -13)

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