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If |z-i|<1, then |z+12-6i|

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Solution:     Given  ,    left | z-i ight |< 1

         Now  ,       left | z+12-6i ight |=left | (z-i)+(12-5i) ight |

          Rightarrow            left | z+12-6i ight |leq left | z-i ight |+left | 12-5i ight | < 1+13=14

           ecause                           left | z_1+z_2 ight |leq left | z_1 ight |+left | z_2 ight |

         Hence            left | z+12-6i ight |< 14.

                       

Posted by

Deependra Verma

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