Toggle navigation
Email or Username
Password
Remember
Login
Register

I forgot my password
Learn
Questions
Unanswered
Categories
Ask a Question
If z is a complex number, then the minimum value of z + z − 1 is ______.
+1
vote
5
views
If z is a complex number, then the minimum value of z + z − 1 is ______.
jeemain
complexnumbers
asked
Mar 27
in
Complexnumber
by
Brainiak
(
6.4k
points)

5
views
answer
Please
log in
or
register
to answer this question.
1
Answer
+1
vote
Best answer
First, note that z=z and z1 + z2 ≤ z1 + z2
Now z + z1 = z + 1  z ≤ z + (1  z)
= 1
= 1
Hence, minimum value of z + z  1 is 1.
answered
Mar 27
by
Brainiak
(
6.4k
points)
ask related question
comment
Please
log in
or
register
to add a comment.
All categories
JEEmain
215
Physics
123
chemistry
37
Mathematics
54
All
23
Trigonometry
16
Complexnumber
5
Probability
2
Limits
0
Functions
0
Binomial
1
Determinants&matrices
0
Other
0
Integrals calculus
1
Vector
2
Matrices
0
MHTCET
22
maharashtra state board
165
11th Science Maharashtra Board
86
12th Science Maharashtra Board
2
questionhub
3
general
7
computerscience
18
Exam papers
5
Related questions
+1
vote
1
answer
Let A={θϵ(π/2π):3+2isinθ/12isinθ is purely imaginary} then the sum of elements in A is
asked
Mar 14
in
Complexnumber
by
Sarthak

36
views
complexnumbers
jeemain
jeemain2019maths
+1
vote
1
answer
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
in
Mathematics
by
Brainiak
(
6.4k
points)

2
views
jeemain
cengage
+2
votes
1
answer
If sec 4θ − sec 2θ = 2, then find the general value of θ
asked
Mar 27
in
Trigonometry
by
Brainiak
(
6.4k
points)

12
views
jeemain
trigonometry
+1
vote
1
answer
If (z  α)/(z + α) (α ∈ R) is a purely imaginary number and z = 2, then a value of α is :
asked
Mar 15
in
Complexnumber
by
Bharat

62
views
jeemain2019maths
+1
vote
1
answer
If z1, z2 are complex numbers such that, 2z13z12z13z1is purely imaginary number, then finds z1−z2z1+z2z1−z2z1+z2 
asked
Mar 27
in
physics
by
Brainiak
(
6.4k
points)

6
views
complexnumbers
532
questions
525
answers
8
comments
12
users