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Mathematics
Mathematics
Problem
Find the correct relation among
a
a
a
,
b
b
b
and
c
c
c
for the standard hyperbola
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
. a)
c
2
=
a
2
−
b
2
c^{2}=a^{2}-b^{2}
c
2
=
a
2
−
b
2
b)
c
2
=
a
2
+
b
2
c^{2}=a^{2}+b^{2}
c
2
=
a
2
+
b
2
c)
c
2
=
a
2
+
b
2
2
c^{2}=\dfrac{a^{2}+b^{2}}{2}
c
2
=
2
a
2
+
b
2
d)
c
2
=
(
a
+
b
)
2
c^{2}=(a+b)^{2}
c
2
=
(
a
+
b
)
2
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