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Mathematics
Problem
Which of the following ellipses is flattest, i.e. has the greatest eccentricity? a)
x
2
25
+
y
2
16
=
1
\dfrac{x^{2}}{25}+\dfrac{y^{2}}{16}=1
25
x
2
+
16
y
2
=
1
b)
x
2
169
+
y
2
144
=
1
\dfrac{x^{2}}{169}+\dfrac{y^{2}}{144}=1
169
x
2
+
144
y
2
=
1
c)
x
2
36
+
y
2
4
=
1
\dfrac{x^{2}}{36}+\dfrac{y^{2}}{4}=1
36
x
2
+
4
y
2
=
1
d)
x
2
100
+
y
2
81
=
1
\dfrac{x^{2}}{100}+\dfrac{y^{2}}{81}=1
100
x
2
+
81
y
2
=
1
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