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प्रश्न
The conjugate of the complex number `(1 - i)/(1 + i)` is ______.
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उत्तर
The conjugate of the complex number `(1 - i)/(1 + i)` is ______.
Explanation:
`(1 - i)/(1 + i) = (1 - i)/(1 + i) xx (1 - i)/(1 - i)`
= `(1 + i^2 - 2i)/(1 - i^2)`
= `(1 - 1 - 2i)/(1 + 1)`
= –i
Hence, conjugate of `(1 - i)/(1 + i)` is i.
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