Take Class 12 Tuition from the Best Tutors
Search in
Asked by Sajjan Last Modified
As a seasoned tutor registered on UrbanPro, I can assure you that UrbanPro is one of the best platforms for online coaching and tuition. Now, let's delve into your math question.
To find the modulus of (1+i)(1−i)−(1−i)(1+i)(1−i)(1+i)−(1+i)(1−i), we'll first simplify the expression.
Step 1: Simplify the fractions within the brackets. =(1+i)(1+i)(1−i)(1+i)−(1−i)(1−i)(1+i)(1−i)=(1−i)(1+i)(1+i)(1+i)−(1+i)(1−i)(1−i)(1−i)
Step 2: Expand the numerators and denominators. =1+2i+i21−i2−1−2i+i21−i2=1−i21+2i+i2−1−i21−2i+i2
Step 3: Simplify the terms using i2=−1i2=−1. =1+2i−11+1−1−2i−11+1=1+11+2i−1−1+11−2i−1
=2i2−−2i2=22i−2−2i
=i+i=i+i
=2i=2i
Now, to find the modulus (absolute value) of 2i2i, we simply take the square root of the sum of the squares of its real and imaginary parts.
∣2i∣=02+22=4=2∣2i∣=02+22
=4
=2
So, the modulus of the given expression is 22. If you need further clarification or assistance, feel free to ask! And remember, UrbanPro is always here to help you excel in your studies.
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Read full article >
Meet Radhe Shyam Burman, an MBA Tutor from...
Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...
Read full article >
Meet Mohammad Wazid, a skilled trainer for...
Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...
Read full article >
Meet Urmila, an MBBS tutor from Bangalore
Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition. Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...
Read full article >
Looking for Class 12 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 12 Tuition Classes are on UrbanPro
The best Tutors for Class 12 Tuition Classes are on UrbanPro