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

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प्रश्न

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

योग
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उत्तर

`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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अध्याय 4: Complex Numbers and Quadratic Equations - Miscellaneous Exercise [पृष्ठ ८६]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 4 Complex Numbers and Quadratic Equations
Miscellaneous Exercise | Q 7. (ii) | पृष्ठ ८६

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