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Let A,B and C be three sets of complex numbers as defined below: {:(,A={z:Im(z) ge 1}),(,B={z:abs(z-2-i)=3}),(,C={z:Re(1-i)z)=3sqrt(2)"where" i=sqrt(-1)):} Let z be any point in A cap B cap C " and " omega be any point satisfying abs(omega-2-i) lt 3. Then, abs(z)-abs(omega)+3 lies between |
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Answer» `-6 and 3` |
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