If-the-minimum-value-of-z-1-i-z-1-i-2-z-3-z-is-k-then-k-8-equals-

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

If the minimum value of

∣ z + 1 + i ∣ + ∣ z - 1 - i ∣ + ∣ 2 - z ∣ + ∣ 3 - z ∣ is

k then (k - 8) equals

Answered by Tinkutara last updated on 15/Sep/17

∣ z_{1} ∣ + ∣ z_{2} ∣⩾∣ z_{1} + z_{2} ∣

S o m i n i m u m v a l u e i s

∣ z + 1 + i + z - 1 - i + 2 - z + 3 - z ∣= 5 = k

k - 8 = - 3