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Mathematics
Mathematics
Problem
Find the equation of the locus of the points twice as far from
(
−
a
,
0
)
(-a, 0)
(
−
a
,
0
)
as from
(
a
,
0
)
(a, 0)
(
a
,
0
)
. a.
x
2
−
2
y
2
=
a
2
x^2 - 2y^2 = a^2
x
2
−
2
y
2
=
a
2
b.
x
2
+
2
y
2
=
a
2
x^2 + 2y^2 = a^2
x
2
+
2
y
2
=
a
2
c.
x
2
−
2
y
2
=
2
a
2
x^2 - 2y^2 = 2a^2
x
2
−
2
y
2
=
2
a
2
d.
x
2
+
2
y
2
=
2
a
2
x^2 + 2y^2 = 2a^2
x
2
+
2
y
2
=
2
a
2
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