TS EAMCET · Maths · Complex Number
The number of common roots among the \(12^{\text {th }}\) and \(30^{\text {th }}\) roots of unity is
- A 12
- B 9
- C 8
- D 6
Answer & Solution
Correct Answer
(D) 6
Step-by-step Solution
Detailed explanation
We know that \(n^{\text {th }}\) roots of unity \(=e^{\frac{i 2 K \pi}{n}}\) \(\therefore 12^{\text {th }}\) roots of unity is \(e^{i \frac{2 K \pi}{12}}=e^{i \frac{K \pi}{6}}\) \(30^{\text {th }}\) roots of unity is \(e^{i \frac{2 K \pi}{30}}=e^{i \frac{K \pi}{15}}\) Common…
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