TS EAMCET · Maths · Complex Number
If \(|x+i y|=\sqrt{x^2+y^2}\), then \(\left|(1-\sqrt{3} i)^9+(\sqrt{3}+i)^9\right|=\)
- A \(2^9\)
- B \(2^{18}\)
- C \(2^{10}\)
- D \(2^{\frac{19}{2}}\)
Answer & Solution
Correct Answer
(D) \(2^{\frac{19}{2}}\)
Step-by-step Solution
Detailed explanation
Given \(|\mathrm{x}+\mathrm{iy}|=\sqrt{\mathrm{x}^2+\mathrm{y}^2}\) Take \(\left|(1-\sqrt{3} i)^9+(\sqrt{3}+\mathrm{i})^9\right|\)…
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