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Question Number 21137 by Tinkutara last updated on 14/Sep/17

$$\mathrm{If}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}$$$$\mid z+1+i\mid +\mid z-1-i\mid +\mid 2-z\mid +\mid 3-z\mid \mathrm{is}$$$$k\mathrm{then}(k-8)\mathrm{equals}$$

Answered by Tinkutara last updated on 15/Sep/17

$$\mid z_1\mid +\mid z_2\mid ⩾\mid z_1+z_2\mid$$$$Sominimumvalueis$$$$\mid z+1+i+z-1-i+2-z+3-z\mid =5=k$$$$k-8=-3$$

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