Q92 / 160 · WBJEE 2009 · Mathematics

For any complex number $z$, the minimum value of $|z|+|z-1|$ is

A
0
Correct answer
B
1
C
2
D
-1

Solution

$$ \begin{gathered} \text { Hints }: 1=|z-(z-1)| \\ \qquad 1 \leq|z|+|z-1| \end{gathered} $$

Hence, the correct answer is option: 'B'.

Relevant Questions

The total number of polynomials of the form which is divisible by , where is2026Conjugate, modulus and argument
If are complex numbers such that is a purely imaginary number, then the value of is2025Conjugate, modulus and argument
If , then Maximum Minimum is equal to2022Conjugate, modulus and argument
Let and be two non-zero complex numbers. Then2022Conjugate, modulus and argument
Let denote the set of all complex numbers. Define and and . Then2021Conjugate, modulus and argument
The number of complex numbers such that and imaginary part of is 0, is2020Conjugate, modulus and argument