Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Two circles are given by the equations
x
2
+
y
2
−
6
x
+
4
y
+
4
=
0
x^{2} + y^{2} - 6x + 4y + 4 = 0
x
2
+
y
2
−
6
x
+
4
y
+
4
=
0
and
x
2
+
y
2
+
8
x
−
2
y
+
k
=
0
x^{2} + y^{2} + 8x - 2y + k = 0
x
2
+
y
2
+
8
x
−
2
y
+
k
=
0
. Determine the value of the constant
k
k
k
such that these two circles intersect orthogonally.
Browse the problem library