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If Z 1 = 2 − I , Z 2 = − 2 + I , Find Im ( 1 Z 1 ¯ Z 1 ) - Mathematics

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प्रश्न

If \[z_1 = 2 - i, z_2 = - 2 + i,\] find 

Im `(1/(z_1overlinez_1))`

उत्तर

\[\left( \frac{1}{z_1 z_1} \right) = \frac{1}{\left( 2 - i \right)\left( 2 + i \right)}\]

\[ = \frac{1}{2^2 - i^2}\]

\[ = \frac{1}{5}\]

\[\text { Im }\left( \frac{1}{z_1 z_1} \right) = 0 \left( \text { Since no term containing i is present } \right)\]

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पाठ 13: Complex Numbers - Exercise 13.2 [पृष्ठ ३२]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 13 Complex Numbers
Exercise 13.2 | Q 6.2 | पृष्ठ ३२

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