Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The circle
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
x^2 + y^2 - 4x - 4y + 4 = 0
x
2
+
y
2
−
4
x
−
4
y
+
4
=
0
is inscribed in a triangle which has two of its sides along the coordinate axes. The locus of the circumcentre of the triangle is
x
+
y
−
x
y
+
k
(
x
2
+
y
2
)
1
/
2
=
0
x + y - xy + k(x^2 + y^2)^{1/2} = 0
x
+
y
−
x
y
+
k
(
x
2
+
y
2
)
1/2
=
0
. Find
k
k
k
.
Browse the problem library