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Mathematics
Mathematics
Problem
If the foci of a conic are at
(
0
,
\pm
c
)
(0,\text{\textpm} c)
(
0
,
\pm
c
)
with centre at the origin, which of the following is its standard equation? a)
y
2
a
2
−
x
2
b
2
=
1
\dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1
a
2
y
2
−
b
2
x
2
=
1
b)
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
c)
y
2
a
2
+
x
2
b
2
=
1
\dfrac{y^{2}}{a^{2}}+\dfrac{x^{2}}{b^{2}}=1
a
2
y
2
+
b
2
x
2
=
1
d)
y
2
b
2
−
x
2
a
2
=
1
\dfrac{y^{2}}{b^{2}}-\dfrac{x^{2}}{a^{2}}=1
b
2
y
2
−
a
2
x
2
=
1
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