Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
P
P
P
and
Q
Q
Q
be any points on the curves
(
x
−
1
)
2
+
(
y
+
1
)
2
=
1
(x - 1)^2 + (y + 1)^2 = 1
(
x
−
1
)
2
+
(
y
+
1
)
2
=
1
and
y
=
x
2
y = x^2
y
=
x
2
, respectively. The distance between
P
P
P
and
Q
Q
Q
is minimum for some value of the abscissa of
P
P
P
in the interval A
(
0
,
1
4
)
\left(0, \frac{1}{4}\right)
(
0
,
4
1
)
B
(
1
2
,
3
4
)
\left(\frac{1}{2}, \frac{3}{4}\right)
(
2
1
,
4
3
)
C
(
1
4
,
1
2
)
\left(\frac{1}{4}, \frac{1}{2}\right)
(
4
1
,
2
1
)
D
(
3
4
,
1
)
\left(\frac{3}{4}, 1\right)
(
4
3
,
1
)
Browse the problem library