MathDB
Problems
Contests
National and Regional Contests
India Contests
ISI Entrance Examination
2014 ISI Entrance Examination
6
6
Part of
2014 ISI Entrance Examination
Problems
(1)
Longest line contained in the region
Source: ISI Entrance 2014, P6
5/11/2014
Define
A
=
{
(
x
,
y
)
∣
x
=
u
+
v
,
y
=
v
,
u
2
+
v
2
≤
1
}
\mathcal{A}=\{(x,y)|x=u+v,y=v, u^2+v^2\le 1\}
A
=
{(
x
,
y
)
∣
x
=
u
+
v
,
y
=
v
,
u
2
+
v
2
≤
1
}
. Find the length of the longest segment that is contained in
A
\mathcal{A}
A
.
rotation
trigonometry
real analysis
real analysis unsolved