Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A circle C touches the line
x
=
2
y
x = 2y
x
=
2
y
at the point
(
2
,
1
)
(2,1)
(
2
,
1
)
and intersects the circle
C
1
:
x
2
+
y
2
+
2
y
−
5
=
0
C_1: x^2 + y^2 + 2y - 5 = 0
C
1
:
x
2
+
y
2
+
2
y
−
5
=
0
at two points P and Q such that PQ is a diameter of
C
1
C_1
C
1
. Then the diameter of C is : (1)
7
5
7\sqrt{5}
7
5
(2) 15 (3)
285
\sqrt{285}
285
(4)
4
15
4\sqrt{15}
4
15
Browse the problem library