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Equation of the circles |z-1-i|=1 & |z-1+i|=1 touches internally a circle of radius 2. The equation of the circle touching all the circles can be |
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Answer» `3zbarz+z+barz-1=0` `C_(1)C_(3)=C_(2)C_(3)=1` `"CC"_(3)=2-r` `:.(1+r)^(2)=1^(2)+(2-r)^(2)` `impliesr=2//3` `:.` Centre of described circle is `-1+2/3=(-1)/3` or `3-2/3=7/3` ![]() `:.` Required equation of circle are `|z+1/3|=2/3` & `|z-7/3|=2/3` |
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