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Mathematics
Mathematics
Problem
Show that the locus of a point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
satisfying
(
x
+
3
)
2
+
y
2
+
(
x
−
3
)
2
+
y
2
=
10
\sqrt{(x+3)^{2}+y^{2}}+\sqrt{(x-3)^{2}+y^{2}}=10
(
x
+
3
)
2
+
y
2
+
(
x
−
3
)
2
+
y
2
=
10
can be written in the form
x
2
25
+
y
2
16
=
1.
\frac{x^{2}}{25}+\frac{y^{2}}{16}=1.
25
x
2
+
16
y
2
=
1.
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