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Mathematics
Problem
An ellipse has foci at
(
±
5
,
0
)
(\pm5,0)
(
±
5
,
0
)
and satisfies
P
A
+
P
B
=
14
PA+PB=14
P
A
+
P
B
=
14
. Which of the following is its standard equation? a)
x
2
25
+
y
2
24
=
1
\displaystyle \frac{x^{2}}{25}+\frac{y^{2}}{24}=1
25
x
2
+
24
y
2
=
1
b)
x
2
49
+
y
2
24
=
1
\displaystyle \frac{x^{2}}{49}+\frac{y^{2}}{24}=1
49
x
2
+
24
y
2
=
1
c)
x
2
49
−
y
2
24
=
1
\displaystyle \frac{x^{2}}{49}-\frac{y^{2}}{24}=1
49
x
2
−
24
y
2
=
1
d)
x
2
24
+
y
2
49
=
1
\displaystyle \frac{x^{2}}{24}+\frac{y^{2}}{49}=1
24
x
2
+
49
y
2
=
1
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