The complex number z = 1 + i is rotated through an angle 3 2 in anticlockwise direction…
Mathematics · JEE Advanced · NTA Exams — Complex 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
- \(-\sqrt{2}-\sqrt{2} i\)
- \(\sqrt{2}-\sqrt{2} \mathrm{i}\)
- \(2-\sqrt{2} i\)
- 2–2i
Answer
(D) 2–2i
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