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Multiplicative inverse of 1 + i is ______.

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Question

Multiplicative inverse of 1 + i is ______.

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Solution

Multiplicative inverse of 1 + i is `underlinebb(1/2 (1 - i))`.

Explanation:

Multiplicative inverse of 1 + i = `1/(1 + i)`

= `(1 xx (1 - i))/((1 + i)(1 - i))`

= `(1 - i)/(1 - i^2)`

= `(1 - i)/(1 + 1)`

= `1/2(1 - i)`

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Chapter 5: Complex Numbers and Quadratic Equations - Exercise [Page 93]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 25.(v) | Page 93

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