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Mathematics
Problem
A hyperbola has its foci at
(
0
,
±
13
)
(0,\pm 13)
(
0
,
±
13
)
, and the constant difference of distances from any point on the curve to the foci is
10
10
10
. Which of the following is its standard equation? a)
y
2
25
−
x
2
169
=
1
\dfrac{y^{2}}{25}-\dfrac{x^{2}}{169}=1
25
y
2
−
169
x
2
=
1
b)
y
2
144
−
x
2
25
=
1
\dfrac{y^{2}}{144}-\dfrac{x^{2}}{25}=1
144
y
2
−
25
x
2
=
1
c)
y
2
25
−
x
2
144
=
1
\dfrac{y^{2}}{25}-\dfrac{x^{2}}{144}=1
25
y
2
−
144
x
2
=
1
d)
x
2
25
−
y
2
144
=
1
\dfrac{x^{2}}{25}-\dfrac{y^{2}}{144}=1
25
x
2
−
144
y
2
=
1
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