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Let \( z_{\mathrm{k}}=\cos \left(\frac{2 \mathrm{k} \pi}{10}\right)+\mathrm{i} \sin \left(\frac{2 \mathrm{k} \pi}{10}\right) ; \mathrm{k}=1,2, \ldots \ldots, 9 \).
P. For each \( z_{\mathrm{k}} \) there exists a \( z_{\mathrm{j}} \) such that \( \mathrm{z}_{\mathrm{k}} \cdot \mathrm{z}_{\mathrm{j}}=1 \)
List-II
1. True
Q. There exists a \( k \in\{1,2, \ldots \ldots ., 9\} \) such that \( z_{1} \cdot z=z_{k} \)
2. False has no solution \( \mathrm{z} \) in the set of complex numbers
R. \( \frac{\left|1-z_{1}\right|\left|1-z_{2}\right| \ldots \ldots .\left|1-z_{9}\right|}{10} \) equals
3. 1
S. \( \quad 1-\sum_{\mathrm{k}=1}^{9} \cos \left(\frac{2 \mathrm{k} \pi}{10}\right) \) equals
4. 2
Codes:
(A) \( \quad 1 \quad \begin{array}{llll}\mathrm{P} & \mathrm{Q} & \mathrm{R} & \mathrm{S} \\ \text { (B) } & 2 & 4 & 3\end{array} \)
(C) \( 11 \quad 2 \quad 3 \quad 4 \)
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