Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If the circles
x
2
+
y
2
−
16
x
−
20
y
+
164
=
r
2
x^2 + y^2 - 16x - 20y + 164 = r^2
x
2
+
y
2
−
16
x
−
20
y
+
164
=
r
2
and
(
x
−
4
)
2
+
(
y
−
7
)
2
=
36
(x-4)^2 + (y-7)^2 = 36
(
x
−
4
)
2
+
(
y
−
7
)
2
=
36
intersect at two distinct points, then: [JEE-MAIN ONLINE-2019] (1)
0
<
r
<
1
0 < r < 1
0
<
r
<
1
(2)
1
<
r
<
11
1 < r < 11
1
<
r
<
11
(3)
r
>
11
r > 11
r
>
11
(4)
r
=
11
r = 11
r
=
11
Browse the problem library