Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Prove that the point
{
a
2
(
t
+
1
t
)
,
b
2
(
t
−
1
t
)
}
\left\{ \frac{a}{2} \left( t + \frac{1}{t} \right), \frac{b}{2} \left( t - \frac{1}{t} \right) \right\}
{
2
a
(
t
+
t
1
)
,
2
b
(
t
−
t
1
)
}
lies on the hyperbola for all values of
t
t
t
(
t
≠
0
t \neq 0
t
=
0
).
Browse the problem library