Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If the area bounded by the curve
y
=
x
2
+
1
y = x^2 + 1
y
=
x
2
+
1
,
y
=
x
y = x
y
=
x
and the pair of lines
x
2
+
y
2
+
2
x
y
−
4
x
−
4
y
+
3
=
0
x^2 + y^2 + 2xy - 4x - 4y + 3 = 0
x
2
+
y
2
+
2
x
y
−
4
x
−
4
y
+
3
=
0
is
K
K
K
units, then the area of the region bounded by the curve
y
=
x
2
+
1
y = x^2 + 1
y
=
x
2
+
1
,
y
=
x
−
1
y = \sqrt{x-1}
y
=
x
−
1
and the pair of lines
(
x
+
y
−
1
)
(
x
+
y
−
3
)
=
0
(x+y-1)(x+y-3) = 0
(
x
+
y
−
1
)
(
x
+
y
−
3
)
=
0
, is a.
K
K
K
b.
2
K
2K
2
K
c.
K
2
\frac{K}{2}
2
K
d. None of these
Browse the problem library