The conjugate of a complex number is 1/i-1 . Then the complex number is: - Mathematics MCQ AIEEE 2026 | ExamTest.live

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The conjugate of a complex number is \frac{1}{i - 1} . Then the complex number is:

Solution & Step-by-step Explanation

Let the complex number be z .We are given that \overset{z}{ˉ} = \frac{1}{i - 1} .To find z, we take the conjugate of \overset{z}{ˉ} : z = \overline{(\frac{1}{i - 1})} = \frac{1}{i ˉ - 1 ˉ} = \frac{1}{- i - 1} = \frac{- 1}{i + 1}

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The conjugate of a complex number is \frac{1}{i - 1} . Then the complex number is:

\frac{- 1}{i - 1}

\frac{1}{i + 1}

\frac{- 1}{i + 1}

\frac{1}{i - 1}

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