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Mathematics
Problem
For any hyperbola in standard form
x
2
a
2
−
y
2
b
2
=
1
\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}=1
a
2
x
2
−
b
2
y
2
=
1
, which of the following correctly describes its eccentricity
e
e
e
? a)
0
<
e
<
1
0<e<1
0
<
e
<
1
b)
e
>
1
e>1
e
>
1
c)
e
=
1
e=1
e
=
1
d)
e
=
1
−
b
2
a
2
e=\sqrt{1-\dfrac{b^{2}}{a^{2}}}
e
=
1
−
a
2
b
2
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