The complex number z = 1 + i is rotated through an angle 3 2 in anticlockwise direction…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

The complex number z = 1 + i is rotated through an angle \(\frac{3 \pi}{2}\) in anticlockwise direction about the origin and stretched by additional \(\sqrt{2}\) units, then the new complex number is
  1. \(-\sqrt{2}-\sqrt{2} i\)
  2. \(\sqrt{2}-\sqrt{2} \mathrm{i}\)
  3. \(2-\sqrt{2} i\)
  4. 2–2i

Answer

(D) 2–2i

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