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Mathematics
Problem
The vertices of an ellipse are at
(
±
5
,
0
)
(\pm5,\,0)
(
±
5
,
0
)
and the co-vertices are at
(
0
,
±
3
)
(0,\,\pm3)
(
0
,
±
3
)
. Find its standard equation. a)
x
2
5
+
y
2
3
=
1
\dfrac{x^{2}}{5}+\dfrac{y^{2}}{3}=1
5
x
2
+
3
y
2
=
1
b)
x
2
25
+
y
2
25
=
1
\dfrac{x^{2}}{25}+\dfrac{y^{2}}{25}=1
25
x
2
+
25
y
2
=
1
c)
x
2
25
+
y
2
9
=
1
\dfrac{x^{2}}{25}+\dfrac{y^{2}}{9}=1
25
x
2
+
9
y
2
=
1
d)
x
2
9
+
y
2
25
=
1
\dfrac{x^{2}}{9}+\dfrac{y^{2}}{25}=1
9
x
2
+
25
y
2
=
1
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