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Let {z}_{{k}}={{{({2}{k}{}{{10}})}}}+{i}{{{({2}{k}{}{{10}})}}}

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Let $z_{k} = cos (2 k \frac{π}{10}) + i sin (2 k \frac{π}{10}); k = 1, 2, 34, \dots, 9$ (A) For each $z_{k}$ there exists a $z_{j}$ such that $z_{k} . z_{j} = 1$ (ii) there exists a $k \in {1, 2, 3, \dots, 9}$ such that $z_{1} z = z_{k}$

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James Discussed

Let

z_{k} = cos (2 k \frac{π}{10}) + i sin (2 k \frac{π}{10}); k = 1, 2, 34, \dots, 9

(A) For each

z_{k}

there exists a

z_{j}

such that

z_{k} . z_{j} = 1

(ii) there exists a

k \in {1, 2, 3, \dots, 9}

such that

z_{1} z = z_{k}

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Question Text	Let $z_{k} = cos (2 k \frac{π}{10}) + i sin (2 k \frac{π}{10}); k = 1, 2, 34, \dots, 9$ (A) For each $z_{k}$ there exists a $z_{j}$ such that $z_{k} . z_{j} = 1$ (ii) there exists a $k \in {1, 2, 3, \dots, 9}$ such that $z_{1} z = z_{k}$
Answer Type	Video solution: 1
Upvotes	151