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Mathematics
Mathematics
Problem
The foci of an ellipse are
A
(
−
3
,
0
)
A(-3,0)
A
(
−
3
,
0
)
and
B
(
3
,
0
)
B(3,0)
B
(
3
,
0
)
. If the ellipse passes through the point
P
(
4
,
5
)
P(4,5)
P
(
4
,
5
)
, find the constant sum
P
A
+
P
B
PA+PB
P
A
+
P
B
(that is, determine
2
a
2a
2
a
).
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