Let C = {x + iy|x,y ∈ R,i2= −1}, the set of complex numbers. For z = a+ib ∈ C the modulus of z is |z| = √a2 + b2and the argument of z is arg(z) = tan−1(b/a). Def i ne a relation ∼ on C as; for z1,z2∈ C,z1∼ z2if f |z1| = |z2|. 1. Prove that ∼ is an equivalenece relation.

#SET

142 Views

Let C = {x + iy|x,y ∈ R,i2= −1}, the set of complex numbers. For z = a+ib ∈ C the modulus of z is |z| = √a2 + b2and the argument of z is arg(z) = tan−1(b/a). Def i ne a relation ∼ on C as; for z1,z2∈ C,z1∼ z2if f |z1| = |z2|. 1. Prove that ∼ is an equivalenece relation.

Latest: SET Result link 2024 | Liberal Arts & Sciences Complete Guide

Also Check : Save up to ₹2000 on TOEFL, GRE & PTE through ApplyShop

Siddhant Zine 12th Nov, 2020

Answer

Answer Later

Report

Answer (1)

Anuj More 15th Nov, 2020

Dear Candidate,

The query that you are asking to prove is a mathematical statement. It is difficult for us to give you an answer. We are limited by our answering options. There are various portals on the internet where you can get a step by step answer to your query. Kindly search there to get a more understandable & detailed answer.

Thanks.

Like Share

Know More About

Symbiosis Entrance Test

Eligibility | Application | Admit Card | Result | Preparation Tips | Dates | FAQs

Get Updates

Related Questions

in the set of complex numbers argument of 0 is equal to

3456 Views

For x, y R define x y to mean that |x| = |y|. Prove that is an equivalence relation in R. Describe [0], [5], and [5].

116 Views

show that each of the relation R in the set A={x belongs to z:0 is less than or equal to x is less than or equal to 12} given by a. R={(a, b):|a-b|is a multiple of 4} b. R={(a, b):a=b}is an equivalence relation.

696 Views

If you set preference for colleges in the Maharashtra NEET UG State counseling as X, Y , Z & A and you get college Z in the first round..and If we want to upgrade and dont retain college Z, in the upgrade process do we get either college X or Y or does it also goes below Z and allot college A.

155 Views

Let X = {a, b, c, d}. How many distinct partitions of X are possible? Determine all partitions of X. Also, determine all equivalence relations on X.

5923 Views

Applications for Admissions are open.

UPES B.Tech Admissions 2025

Apply

Ranked #42 among Engineering colleges in India by NIRF | Highest CTC 50 LPA , 100% Placements

Pearl Academy B.Des Admission...

Apply

No. 1 Design & Fashion Institute by ASSOCHAM, India Today, Outlook and The Week rankings

UPES B.Des Admissions 2025

Apply

Ranked #46 amongst Universities in India by NIRF | Ranked #1 in Academic Reputation in India by QS World University Rankings

UPES | BBA Admissions 2025

Apply

#41 in NIRF, NAAC ‘A’ Grade | 100% Placement, up to 30% meritorious scholarships

Pearl Academy BBA 2025

Apply

No. 1 Design & Fashion Institute by ASSOCHAM, India Today, Outlook and The Week rankings

Dayananda Sagar University B....

Apply

60+ Years of Education Legacy | UGC & AICTE Approved | Prestigious Scholarship Worth 6 Crores | H-CTC 35 LPA

View All Application Forms

Upcoming Exams

Karunya University Entrance Exam - (KEE)

Application Date: 14 Nov, 2024

Application Process Counselling Process

Srm Joint Engineering Entrance Exam - (SRMJEEE)

Eligibility Criteria Application Process Exam Pattern Mock Test Slot Booking Admit Card Preparation Tips Result Cutoff Counselling Process Question Paper Books

Kalinga Institute Of Industrial Technology Entrance Examination - (KIITEE)

Application Process Admit Card Result Counselling Process Eligibility Criteria Exam Pattern Cutoff

Undergraduate Common Entrance Examination For Design - (UCEED)

Application Date: 1 Nov, 2024 - 18 Nov, 2024

Eligibility Criteria Exam Pattern Application Process Admit Card Preparation Tips Result Answer Key Counselling Process Cutoff Question Paper

Institute Of Engineering And Management Joint Entrance Exam - (IEMJEE)

Trending Articles around SET

You Maybe Interested In

Management colleges in India

Management colleges in India accepting SET

Management colleges in Pune accepting SET

Management colleges in Kompally accepting SET

Management colleges in Maharashtra accepting SET

Management colleges in Telangana accepting SET

Top Management colleges in India

Top Management colleges in India accepting SET

Top Management colleges in Pune accepting SET

Top Management colleges in Kompally accepting SET

Top Management colleges in Maharashtra accepting SET

Top Management colleges in Telangana accepting SET

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students

30,000+ Colleges

500+ Exams

1500+ E-books