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Complex Numbers and Quadratic Equations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSComplex Numbers and Quadratic Equations1 Mark
Question
Multiplicative inverse of 1 + i is _________.
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Answer

Multiplicative inverse of 1 + i is $\frac{1}{2}(1-\text{i})$
Solution:
Multiplicative inverse of $1+\text{i}$
$\frac{1}{1+\text{i}}\times\frac{1-\text{i}}{1-\text{i}}=\frac{1-\text{i}}{1+1}=\frac{1-\text{i}}{2}=\frac{1}{2}(1-\text{i})$

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