Each of the circles \( |z-1-i| \) and \( |z-1+i|=1 \) touches internally a circle of radius 2 . ...

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Each of the circles \( |z-1-i| \) and \( |z-1+i|=1 \) touches internally a circle of radius 2 . The complex equation of the circle touching all the three circles can be
(a) \( 3 z \bar{z}+z+\bar{z}-1=0 \)
(b) \( 3 z \bar{z}-7(z+\bar{z})+15=0 \)
(c) \( \bar{z} \bar{z}-z-\bar{z}-3=0 \)
(d) \( 3 z \bar{z}+i(z+\bar{z})-1=0 \)
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