Login

Remember

Google Login
Register

PYQ's
Questions
Hot!
Unanswered
Tags
Categories
Viva Notes
Ask Question
PDF Notes

Ask a Question

If z is a complex number, then the minimum value of |z| + |z − 1| is ______.

+1 vote

138 views

asked Mar 27, 2021 in Uncategorized by Doubtly (98.9k points)
reopened Jun 29, 2023 by Doubtly

jeemain
complexnumbers

Your comment on this question:

Please read the guide .

Your name to display (optional):

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

To avoid this verification in future, please log in or register.

Your answer

Please answer the question in detail

Your name to display (optional):

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

To avoid this verification in future, please log in or register.

1 Answer

+1 vote

answered Mar 27, 2021 by Doubtly (98.9k points)
selected Jun 29, 2023 by Doubtly

Best answer

First, note that |-z|=|z| and |z1 + z2| ≤ |z1| + |z2|
Now |z| + |z-1| = |z| + |1 - z| ≤ |z + (1 - z)|

= |1|

= 1

Hence, minimum value of |z| + |z - 1| is 1.

Your comment on this answer:

Please read the guide .

Your name to display (optional):

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

To avoid this verification in future, please log in or register.

Related questions

+1 vote

1 answer 258 views

Let A={θϵ(-π/2π):3+2isinθ/1-2isinθ is purely imaginary} then the sum of elements in A is

asked Mar 15, 2021 in Uncategorized by Sarthak

complexnumbers
jeemain
jeemain-2019-maths

+1 vote

1 answer 243 views

If sec 4θ − sec 2θ = 2, then find the general value of θ

asked Mar 27, 2021 in Uncategorized by Doubtly (98.9k points)

jeemain
trigonometry

+1 vote

1 answer 220 views

If the lines ax + y + 1 = 0, x + by + 1 = 0 and x + y + c = 0 (a, b, c being distinct and different from 1 ) are concurrent, then value of

asked Apr 11, 2021 in Uncategorized by Doubtly (98.9k points)

jeemain
cengage

+1 vote

1 answer 130 views

If z1, z2 are complex numbers such that, 2z13z12z13z1is purely imaginary number, then finds |z1−z2z1+z2z1−z2z1+z2 |

asked Mar 27, 2021 in Chapter1:Rotational Dynamics by Doubtly (98.9k points)

complexnumbers

0 votes

1 answer 257 views

Suppose that f is differentiable for all x and that f’(x) ≤ 2 for all x. If f(1) = 2 and f(4) = 8, then f(2) has the value equal to

asked Jun 1, 2021 in Uncategorized by Doubtly (98.9k points)

cengage
jeemain

+1 vote

1 answer 220 views

If 5(tan 2 x−cos 2 x)=2cos2x+9, then the value of cos4x is

asked Mar 9, 2021 in Uncategorized by Doubtly (98.9k points)

maths
jeemain

Doubtly is an online community for engineering students, offering:

Free viva questions PDFs
Previous year question papers (PYQs)
Academic doubt solutions
Expert-guided solutions

Get the pro version for free by logging in!

Most popular tags

jeemain geography-10th engineering physics semester 5 web computing

5.7k questions

5.1k answers

108 comments

537 users

Send feedback
About
faq
Linkedin
Terms of service
disclaimer
copyright
privacy policy
comments
XML Sitemap

Doubtly

...