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Mathematics
Mathematics
Problem
If the coordinates of a variable point
P
P
P
be
(
t
+
1
t
,
t
−
1
t
)
\left(t + \frac{1}{t}, t - \frac{1}{t}\right)
(
t
+
t
1
,
t
−
t
1
)
where
t
t
t
is the variable quantity, then the locus of
P
P
P
is a.
x
y
=
8
xy = 8
x
y
=
8
b.
2
x
2
−
y
2
=
8
2x^2 - y^2 = 8
2
x
2
−
y
2
=
8
c.
x
2
−
y
2
=
4
x^2 - y^2 = 4
x
2
−
y
2
=
4
d.
2
x
2
+
3
y
2
=
5
2x^2 + 3y^2 = 5
2
x
2
+
3
y
2
=
5
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