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Mathematics
Mathematics
Problem
The foci of a hyperbola are
F
1
(
−
5
,
0
)
F_{1}(-5,0)
F
1
(
−
5
,
0
)
and
F
2
(
5
,
0
)
F_{2}(5,0)
F
2
(
5
,
0
)
, and the constant difference of the distances from any point on the curve to the foci is
6
6
6
. Which of the following is its equation? a)
y
2
9
−
x
2
16
=
1
\dfrac{y^{2}}{9}-\dfrac{x^{2}}{16}=1
9
y
2
−
16
x
2
=
1
b)
x
2
25
−
y
2
9
=
1
\dfrac{x^{2}}{25}-\dfrac{y^{2}}{9}=1
25
x
2
−
9
y
2
=
1
c)
x
2
9
−
y
2
16
=
1
\dfrac{x^{2}}{9}-\dfrac{y^{2}}{16}=1
9
x
2
−
16
y
2
=
1
d)
x
2
9
−
y
2
25
=
1
\dfrac{x^{2}}{9}-\dfrac{y^{2}}{25}=1
9
x
2
−
25
y
2
=
1
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