Question:
For any complex number $z$, the minimum value of $\left|z\right|+\left|z-1\right|$ is
For any complex number $z$, the minimum value of $\left|z\right|+\left|z-1\right|$ is
Updated On: Feb 15, 2024
- $0$
- $1$
- $2$
- $-1$
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The Correct Option is B
Solution and Explanation
Since, $\left|-z\right|=\left|z\right|$
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Concepts Used:
Complex Numbers and Quadratic Equations
Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.
Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.
