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Mathematics
Mathematics
Problem
The foci of an ellipse are
F
1
(
−
2
,
0
)
F_{1}(-2,0)
F
1
(
−
2
,
0
)
and
F
2
(
2
,
0
)
F_{2}(2,0)
F
2
(
2
,
0
)
. A point
S
(
x
,
3
)
S(x,3)
S
(
x
,
3
)
lies in the first quadrant and the sum of its distances from the foci is
10
10
10
. Which of the following values of
x
x
x
satisfies this condition? a) 4 b)
10
7
\dfrac{10}{\sqrt 7}
7
10
c)
4
21
5
\dfrac{4\sqrt{21}}{5}
5
4
21
d)
5
7
\dfrac{5}{\sqrt 7}
7
5
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