Question

The least value of |z+i|+|z+3i|+|2-z|+|-z-7i|, z being a complex number is?​

Answer 1

Step-by-step explanation:

Correct option is

A

1

The triangle inequality tells that:

∣z∣+∣z−1∣=∣z∣+∣−(z−1)∣≥∣z−(z−1)∣=∣z−z+1∣=∣1∣=1

⟹∣z∣+∣z−1∣≥1.

So, the minimum value of ∣z∣+∣z−1∣ is 1