Circle Mirror Image Radius (Jee Mains) | ExamDuo
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Equation & Position in Circle
Hard
Circle Mirror Image Radius
Consider a circle
C
1
:
x
2
+
y
2
−
4
x
−
2
y
=
α
−
5
. Let its mirror image in the line
y
=
2
x
+
1
be another circle
C
2
:
5
x
2
+
5
y
2
−
10
f
x
−
10
g
y
+
36
=
0
. Let
r
be the radius of
C
2
. Then
α
+
r
is equal to ________.
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