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Mathematics
Mathematics
Problem
The equation of the locus of a point which moves so that its distance from the point
(
a
,
0
)
(a, 0)
(
a
,
0
)
is
k
k
k
times its distance from the point
(
a
k
,
0
)
\left(\frac{a}{k}, 0\right)
(
k
a
,
0
)
,
(
k
≠
1
)
(k \ne 1)
(
k
=
1
)
is a.
x
2
−
y
2
=
a
2
x^2 - y^2 = a^2
x
2
−
y
2
=
a
2
b.
2
x
2
−
y
2
=
2
a
2
2x^2 - y^2 = 2a^2
2
x
2
−
y
2
=
2
a
2
c.
x
y
=
a
2
xy = a^2
x
y
=
a
2
d.
x
2
+
y
2
=
a
2
x^2 + y^2 = a^2
x
2
+
y
2
=
a
2
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