Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The equation
k
x
2
+
k
y
2
−
4
x
+
6
y
+
1
=
0
k x^{2} + k y^{2} - 4x + 6y + 1 = 0
k
x
2
+
k
y
2
−
4
x
+
6
y
+
1
=
0
is intended to represent a circle of radius
3
3
3
. (i) Find the possible value(s) of
k
k
k
for which this holds true. (ii) For each valid value of
k
k
k
, write the corresponding centre of the circle.
Browse the problem library