Ex 4.1, 11 - Chapter 4 Class 11 Complex Numbers

Last updated at August 5, 2026 by

Ex 4.1, 11 - Find multiplicative inverse of 4 - 3i - Teachoo - Ex 4.1

part 2 - Ex 4.1, 11 - Ex 4.1 - Serial order wise - Chapter 4 Class 11 Complex Numbers

Ā 

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 5 questions, selected from your answers, mistakes, and progress.
Remove Ads

Transcript

Ex5.1, 11 Find the multiplicative inverse of the Complex number 4 ā€“ 3š‘– Multiplicative inverse of z = z ā€“ 1 Multiplicative inverse of z = 1/š‘§ Putting z = 4 ā€“ 3i multiplicative inverse of 4 ā€“ 3i = 1/(4 āˆ’3 š‘–) Rationalizing = 1/(4 āˆ’3š‘–) Ɨ(4 + 3š‘–)/(4 + 3š‘–) = (4+3i)/(4 āˆ’3i)(4 + 3š‘–) Using (a ā€“ b ) ( a + b ) = a 2 ā€“ b 2 = (4 + 3š‘–)/((4)2āˆ’(3š‘–)2) = (4 + 3i)/(16 āˆ’ 9š‘–2) Putting i 2 = āˆ’ 1 = (4 + 3š‘–)/(16 āˆ’9 (āˆ’1) ) = (4 + 3š‘–)/(16 + 9) = (4 + 3š‘–)/25 = 4/25+3/25 š‘–

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.