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What is the reciprocal of 3+7i. - Mathematics

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Question

What is the reciprocal of `3 + sqrt(7)i`.

Sum

Solution

Reciprocal of z = `barz/|z|^2`

Therefore, reciprocal of `3 + sqrt(7)i = (3 - sqrt(7) i)/16`

= `3/16 - (sqrt(7)i)/16`

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Chapter 5: Complex Numbers and Quadratic Equations - Solved Examples [Page 87]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 21 | Page 87

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