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Mathematics
Mathematics
Problem
Consider a hyperbola with 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 inequality is always true for its semi-transverse axis
a
a
a
and the focal distance
c
c
c
? a)
a
=
c
a=c
a
=
c
b)
a
>
c
a>c
a
>
c
c)
a
<
c
a<c
a
<
c
d)
a
≥
c
a\ge c
a
≥
c
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