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

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प्रश्न

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

योग

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 5: Complex Numbers and Quadratic Equations - Miscellaneous Exercise [पृष्ठ ११३]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Miscellaneous Exercise | Q 12.2 | पृष्ठ ११३

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