Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If the circle
x
2
+
y
2
−
2
g
x
+
6
y
−
19
c
=
0
x^2 + y^2 - 2gx + 6y - 19c = 0
x
2
+
y
2
−
2
g
x
+
6
y
−
19
c
=
0
,
c
∈
R
c \in \mathbb{R}
c
∈
R
passes through the point
(
6
,
1
)
(6, 1)
(
6
,
1
)
and its centre lies on the line
x
−
2
c
y
=
8
x - 2cy = 8
x
−
2
cy
=
8
, then the length of intercept made by the circle on
X
X
X
-axis is (2022 Main, 27 July) (a)
11
\sqrt{11}
11
(c) 3 (b) 4 (d)
2
23
2\sqrt{23}
2
23
Browse the problem library