Let \( \mathrm{A} \) and \( \mathrm{A}^{\prime} \) be the points \(...

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Let \( \mathrm{A} \) and \( \mathrm{A}^{\prime} \) be the points \( (5,0) \) and \( (-5,0) \)
\( \mathrm{P} \)
respectively. Find the equation of the locus of all
W
points \( \mathrm{P}(x, y) \) such that \( |\mathrm{AP}|-\left|\mathrm{A}^{\prime} \mathrm{P}\right|=8 \).
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