0 votes 0 votes What is the minimum value of $\mid z+w \mid$ for complex numbers $z$ and $w$ with $zw = 1$? $0$ $1$ $2$ $3$ Mathematical Logic complex-number + – jjayantamahata asked Mar 17, 2018 edited Mar 17, 2018 by Sukanya Das jjayantamahata 271 views answer comment Share Follow See 1 comment See all 1 1 comment reply SatyamK commented Apr 2, 2020 i edited by SatyamK Apr 29, 2020 reply Follow Share Case 1: Both z and w are imaginary ($\Re=0$) $z=i, w=-i$ ($\because i^{2}=-1$) Value of $|i - i| = 0$ Case 2: Both z and w are Real $z=1,w=1$ or $z=-1,w=-1$ Value of $|1+1|= 2$ Note: If u take any other values for both case, even then the values will lie between 0 and 2. $\therefore$ Min value = 0. Answer: A 0 votes 0 votes Please log in or register to add a comment.