Answer
$\{(0,3)\}$
Work Step by Step
$\displaystyle \frac{x^{2}}{25}+\frac{y^{2}}{9}=1$,
is an ellipse, horizontal major axis,
center: origin
a=5, b=3
$y=3$
is a horizontal line.
Intersection points:
$\{(0,3)\}$
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