Circles Touching Internally (Jee Mains) | ExamDuo
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Equation & Position in Circle
Medium
Circles Touching Internally
If the circles
x
2
+
y
2
+
6
x
+
8
y
+
16
=
0
and
x
2
+
y
2
+
2
(
3
−
√
3
)
x
+
2
(
4
−
√
6
)
y
=
k
+
6
√
3
+
8
√
6
,
k
>
0
, touch internally at the point
P
(
α
,
β
)
, then
(
α
+
√
3
)
2
+
(
β
+
√
6
)
2
is equal to
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