Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
P
(
a
2
+
2
a
,
0
)
P(a^2 + 2a, 0)
P
(
a
2
+
2
a
,
0
)
,
Q
(
a
2
−
2
a
t
,
0
)
Q\left(a^2 - \frac{2a}{t}, 0\right)
Q
(
a
2
−
t
2
a
,
0
)
, and
S
(
a
,
0
)
S(a, 0)
S
(
a
,
0
)
be any three points, show that
1
S
P
+
1
S
Q
\frac{1}{SP} + \frac{1}{SQ}
S
P
1
+
S
Q
1
is independent of
t
t
t
.
Browse the problem library