All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 11 Exam  >  Class 11 Questions  >  Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the stan... Start Learning for Free
SaveJoin the Discussion on the App
Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form?
Clear all your Class 11 doubts with EduRev
Most Upvoted Answer
Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form?
1/(1 -4i) - 2/(1+i)}(3-4i)/(5+i)= {(1+i-2(1-4i)}/(1-4i)(1+i) × (3-4i)/(5+i) = (9i -1)(3-4i)/(1-4i)(1+i)(5+i)= (-3 +4i +27i -36i^2)/{1(1+I)-4i(1+i)}(5+i)= {-3 + 31i -36(-1)}/(1+i-4i-4i^2)(5+i)= {33 +31i}/(1-3i+4)(5+i)= (33+31i)/(5-3i)(5+i)= (33+ 31i)/(25 +5i -15i -3i^2)= (33 + 31i)/(25 -10i +3) = (33+31i)(28 +10i)/(28-10i)(28+10i)= {33(28+10i)+31i(28+10i)}/(28^2+10^2)= {924 + 330i + 868i +310i^2}/884= {614 + 1198i}/884 = (307 + 599i)/442 Hence, (307/442) + (599/442)i
Community Answer
Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form?
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Similar Class 11 Doubts

Attempt All sub parts from each question.Tuning a piano wire: When we hear two frequencies which are very close to each other but not exactly equal then distinct waxing and waning of the intensity of the sound is heard. These are known as beats. The beat frequency is equal to the absolute value of the difference in frequency of the two waves. To tune a piano, a musician takes help of beat frequency. He plucks the string and tap a tuning fork at the same time. If the two sound sources— the piano string and the tuning fork, do not produce identical frequency then the musician hears detectable beats. Musician will then adjust the tension of the piano string and repeat the process until the beats are no longer be heard. Tension of the wire changes the frequency of the wire.As the piano string becomes more in tune with the tuning fork, the beat frequency reduces and approaches 0 Hz. When beats are no longer heard, the piano string is tuned to the tuning fork; i.e. they play the same frequency. The process allows the musician to match the strings' frequencies to the frequencies of a standardized set of tuning forks.Q. A musician while tuning a piano with a standard tuning fork of frequency 256 Hz, initially heard beats of 5 Hz. He then increased the tension and found that the beat frequency has reduced to 2Hz. What he should do to achieve tuning?

Top Courses for Class 11View all

Top Courses for Class 11

Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form?
Question Description
Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form?.
Solutions for Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? defined & explained in the simplest way possible. Besides giving the explanation of Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form?, a detailed solution for Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? has been provided alongside types of Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? theory, EduRev gives you an ample number of questions to practice Reduce (1/1-4i -2/1+ i)(3-4i/5 +i)to the standard form? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup