मराठी

The conjugate of the complex number 1-i1+i is ______. - Mathematics

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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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पाठ 5: Complex Numbers and Quadratic Equations - Solved Examples [पृष्ठ ८४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 16.(v) | पृष्ठ ८४
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