Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ 22 107i 3 27 22 107 3 27 i Question **11**: Find the multiplicative inverse of the complex number 4 3i Solution **11**: Let Then, z43i z43i and 2 z 2 4 3 16 9 25 Therefore, the multiplicative inverse of 4 3i z 1 z 4 3i 4 3 i 2 z 25 25 25 is given by . Question 12: Find the multiplicative inverse of the complex number Solution 12: Let Then, z 53i z 53i 2 2 and 2 z 5 3 5 9 14 53i Therefore, the multiplicative inverse of z 1 z 5 3i 5 3i 2 z 14 14 14 53i Question 13: Find the multiplicative inverse of the complex number i Solution 13: Let z i Then, z i and 2 2 z 1 1

Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ Therefore, the multiplicative inverse of i is given by z z i 1 1 2 z i Question 14: Express the following expression in the form of a ib 3i 5 3i 5 3 2i 3 i 2 Solution 14: 3i 5 3i 5 3 2i 3 i 2 2 3 i 5 2 2 2 a b a b a b 3 2i 3 2i 95i 2 2i 2 9 5 1 2 2i 9 5 i 2 2i i 14i 2 2i 2 2 14i 2 2 1 7i 2 2 2 7 2i 2 i 1 .

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Class XI Chapter 12 - Introduction

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