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Mathematics
Problem
An ellipse has its vertices at
(
0
,
±
7
)
(0,\,\pm7)
(
0
,
±
7
)
and co-vertices at
(
±
4
,
0
)
(\pm4,\,0)
(
±
4
,
0
)
. Which of the following is its standard equation? a)
x
2
49
+
y
2
16
=
1
\dfrac{x^{2}}{49}+\dfrac{y^{2}}{16}=1
49
x
2
+
16
y
2
=
1
b)
x
2
4
+
y
2
7
=
1
\dfrac{x^{2}}{4}+\dfrac{y^{2}}{7}=1
4
x
2
+
7
y
2
=
1
c)
x
2
16
+
y
2
49
=
1
\dfrac{x^{2}}{16}+\dfrac{y^{2}}{49}=1
16
x
2
+
49
y
2
=
1
d)
x
2
64
+
y
2
196
=
1
\dfrac{x^{2}}{64}+\dfrac{y^{2}}{196}=1
64
x
2
+
196
y
2
=
1
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