A) 1
B) 0
C) 1/2
D) None of these
Correct Answer: A
Solution :
First note that \[|-z|\,=\,|z|\] and \[|{{z}_{1}}+{{z}_{2}}|\,\le \,|{{z}_{1}}|+|{{z}_{2}}|\] Now \[|z|+|z-1|\,=\,|z|+|1-z|\,\ge \,|z+(1-z)|\,=\,|1|=1\] Hence, minimum value of\[|z|+|z-1|\]is 1.You need to login to perform this action.
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