Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Maximum area of rectangle whose two sides are
x
=
x
0
x = x_0
x
=
x
0
,
x
=
π
−
x
0
x = \pi - x_0
x
=
π
−
x
0
and which is inscribed in a region bounded by
y
=
sin
x
y = \sin x
y
=
sin
x
and
X
X
X
-axis is obtained when
x
0
∈
x_0 \in
x
0
∈
a.
(
π
4
,
π
3
)
\left(\frac{\pi}{4}, \frac{\pi}{3}\right)
(
4
π
,
3
π
)
b.
(
π
6
,
π
4
)
\left(\frac{\pi}{6}, \frac{\pi}{4}\right)
(
6
π
,
4
π
)
c.
(
0
,
π
6
)
\left(0, \frac{\pi}{6}\right)
(
0
,
6
π
)
d. None of these
Browse the problem library