Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Suppose
f
(
x
,
y
)
=
0
f(x,y) = 0
f
(
x
,
y
)
=
0
is the equation of a circle such that
f
(
x
,
1
)
=
0
f(x,1) = 0
f
(
x
,
1
)
=
0
has equal roots (each equal to 2) and
f
(
1
,
x
)
=
0
f(1,x) = 0
f
(
1
,
x
)
=
0
also has equal roots (each equal to zero). The equation of circle is a.
x
2
+
y
2
+
4
x
+
3
=
0
x^2 + y^2 + 4x + 3 = 0
x
2
+
y
2
+
4
x
+
3
=
0
b.
x
2
+
y
2
+
4
y
+
3
=
0
x^2 + y^2 + 4y + 3 = 0
x
2
+
y
2
+
4
y
+
3
=
0
c.
x
2
+
y
2
+
4
x
−
3
=
0
x^2 + y^2 + 4x - 3 = 0
x
2
+
y
2
+
4
x
−
3
=
0
d.
x
2
+
y
2
−
4
x
+
3
=
0
x^2 + y^2 - 4x + 3 = 0
x
2
+
y
2
−
4
x
+
3
=
0
Browse the problem library