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Mathematics
Problem
For an ellipse, the vertices are
(
0
,
±
8
)
(0,\,\pm8)
(
0
,
±
8
)
and the foci are
(
0
,
±
5
)
(0,\,\pm5)
(
0
,
±
5
)
. Which of the following equations represents this ellipse? a)
x
2
25
+
y
2
64
=
1
\dfrac{x^{2}}{25}+\dfrac{y^{2}}{64}=1
25
x
2
+
64
y
2
=
1
b)
x
2
39
+
y
2
25
=
1
\dfrac{x^{2}}{39}+\dfrac{y^{2}}{25}=1
39
x
2
+
25
y
2
=
1
c)
x
2
39
+
y
2
64
=
1
\dfrac{x^{2}}{39}+\dfrac{y^{2}}{64}=1
39
x
2
+
64
y
2
=
1
d)
x
2
64
+
y
2
39
=
1
\dfrac{x^{2}}{64}+\dfrac{y^{2}}{39}=1
64
x
2
+
39
y
2
=
1
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