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Let z1 = 2 – i, z2 = –2 + i. Find ImIm(1z1z¯1)

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Question

Let z1 = 2 – i, z2 = –2 + i. Find `"Im"(1/(z_1barz_1))`

Sum
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Solution

`1/(z_1z_1) = 1/((2 - i)(2-i)) = 1/((2- i)(2 + i))`

= `1/(4 - i^2) = 1/5`

∴ `"Im"(1/(z_1barz_1))` = 0

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Chapter 4: Complex Numbers and Quadratic Equations - Miscellaneous Exercise [Page 86]

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NCERT Mathematics [English] Class 11
Chapter 4 Complex Numbers and Quadratic Equations
Miscellaneous Exercise | Q 7. (ii) | Page 86

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