Login
Remember
Register
Free Test Series
Q&A
Questions
Unanswered
Ask a Question
Ask a Question
For any non-zero complex number \(z\), the minimum value of \(|z|+|z-1|\) is
0
votes
asked
Dec 11, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
edited
Dec 27, 2021
by
kritika
For any non-zero complex number \(z\), the minimum value of \(|z|+|z-1|\) is
(A) 1
(B) \(\frac{1}{2}\)
(C) 0
(D) \(\frac{3}{2}\)
Your answer
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.
1
Answer
0
votes
answered
Dec 27, 2021
by
kritika
(
90.1k
points)
Ans: (A)
Hint: \((|z|+|z-1|)_{\min }=1\)
Your comment on this answer:
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.
Related questions
0
votes
3
answers
Let \(z\) be a complex number such that the principal value of argument, \(\arg z>0\). Then \(\arg z-\arg (-z)\) is
asked
Dec 11, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
If \(z_{1}\) and \(z_{2}\) be two non zero complex numbers such that \(\frac{z_{1}}{z_{2}}+\frac{z_{2}}{z_{1}}=1\), then the origin and the points represented by \(z_{1}\) and \(z_{2}\)
asked
Dec 13, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
1
answer
If \(|z+i|-|z-1|=|z|-2=0\) for a complex number \(z\), then \(z=\)
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
The locus of the point of intersection of the straight lines \(\frac{x}{a}+\frac{y}{b}=K\) and \(\frac{x}{a}-\frac{y}{b}=\frac{1}{k}\), where \(k\) is a non-zero real variable, is given by
asked
Dec 7, 2021
in
Sets, relations and functions
by
deepak01
(
12.2k
points)
0
votes
2
answers
The number of complex numbers \(p\) such that \(|p|=1\) and imaginary part of \(p^{4}\) is 0 , is
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
Welcome to Admisure, where you can ask questions and receive answers from other members of the community.
Categories
All categories
JEE
(1.3k)
Physics
(359)
Biology
(268)
Chemistry
(272)
Maths
(430)
Sets, relations and functions
(405)
Complex number and Quadratic equations
(1)
Matrices & determinants
(1)
Permutations and combinations
(11)
Mathematical induction
(1)
Binomial theorem
(1)
Sequences and series
(1)
Limit, continuity and differentiability
(1)
Integrals calculus
(1)
Differential equations
(1)
Co-ordinate geometry
(1)
Three-dimensional geometry
(1)
Vector algebra
(1)
Statistics and probability
(1)
Trigonometry
(1)
Mathematical reasoning
(1)
Statistics
(1)
Test
(139)
Statistics
(288)
Environmental Science
(1.2k)
Biotechnology
(135)
Social Science
(399)
Commerce
(222)
Electronics
(459)
Computer
(125)
Artificial Intelligence (AI)
(232)
Information Technology
(70)
Programming
(113)
Political Science
(82)
Home Science
(334)
Psychology
(138)
Sociology
(293)
English
(339)
Hindi
(34)
Aptitude
(21)
Reasoning
(11)
GK
(41)
Olympiad
(7)
Skill Tips
(14)
CBSE
(364)
...
