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Mathematics
Mathematics
Problem
Let a circle
C
C
C
touch the lines
L
1
:
4
x
−
3
y
+
K
1
=
0
L_1: 4x - 3y + K_1 = 0
L
1
:
4
x
−
3
y
+
K
1
=
0
and
L
2
:
4
x
−
3
y
+
K
2
=
0
L_2: 4x - 3y + K_2 = 0
L
2
:
4
x
−
3
y
+
K
2
=
0
,
K
1
,
K
2
∈
R
K_1, K_2 \in R
K
1
,
K
2
∈
R
. If a line passing through the centre of the circle
C
C
C
intersects
L
1
L_1
L
1
at
(
−
1
,
2
)
(-1, 2)
(
−
1
,
2
)
and
L
2
L_2
L
2
at
(
3
,
−
6
)
(3, -6)
(
3
,
−
6
)
, then the equation of the circle
C
C
C
is
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