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Mathematics
Problem
Let
E
1
:
x
2
64
+
y
2
49
=
1
E_{1}:\dfrac{x^{2}}{64}+\dfrac{y^{2}}{49}=1
E
1
:
64
x
2
+
49
y
2
=
1
and
E
2
:
x
2
81
+
y
2
64
=
1
E_{2}:\dfrac{x^{2}}{81}+\dfrac{y^{2}}{64}=1
E
2
:
81
x
2
+
64
y
2
=
1
. Which statement about their eccentricities
e
1
e_{1}
e
1
and
e
2
e_{2}
e
2
is correct? a)
e
1
=
e
2
e_{1}=e_{2}
e
1
=
e
2
b)
e
1
>
e
2
e_{1}>e_{2}
e
1
>
e
2
c)
e
1
<
e
2
e_{1}<e_{2}
e
1
<
e
2
d) Both have
e
>
1
e>1
e
>
1
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