WBJEE · Maths · Complex Number
The expression \(\frac{(1+i)^{n}}{(1-i)^{n-2}}\) equals
- A \(-i^{n+1}\)
- B \(i^{n+1}\)
- C \(-2 i^{n+1}\)
- D 1
Answer & Solution
Correct Answer
(C) \(-2 i^{n+1}\)
Step-by-step Solution
Detailed explanation
\((\mathrm{c}) \frac{(1+i)^{n}}{(1-i)^{n-2}}=\frac{(1+i)^{n}}{(1-i)^{n}(1-i)^{-2}}\)…
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