logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
0 votes

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

$\begin{array}{1 1}(A) \;0 \\(B)\;1 \\(C)\;2\\(D)\;4 \end{array}$

Can you answer this question?
 
 

1 Answer

0 votes
Let $z=x+iy$
$|z|+|z-1|=\sqrt{x^2+y^2}+\sqrt{(x-1)^2+y^2}$
The minimum value of $|z|+|z-1|$ is occured when $ x=0$ and $ y=0$ or
when $x=1\:\:and\:\:y=0$ which is$=1$ on either case
answered Jul 2, 2013 by rvidyagovindarajan_1
edited Jul 28, 2014 by sharmaaparna1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...