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The minimum value of mod z where mod z-2-2i =1?

The minimum value of mod z where mod z-2-2i =1?

Grade:11

3 Answers

vikas askiitian expert
509 Points
10 years ago

mod(Z-2-2i) = 1                                .........1

let  2+2i =Z1

  modZ1 = sqrt8

then

 mod(Z-Z1)=1

mod(Z-Z1)<=modZ - modZ1                           (using formula)

          1<=modZ - sqrt8

modZ >=1+sqrt8

its minimum value = (1+sqrt8)

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

mod z=3+2i

Hence its minimum value=root 13

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

jagdish singh singh
173 Points
10 years ago

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