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#1 2008-12-31 02:07:41
- ganesh
- Moderator
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Complex Numbers - Pre-University level - IV
1. Simplify:
2. Prove that
.
3. Prove that
are real and purely imaginary respectively.
4. If ,
prove that
.
5. Find all the values of
(i)
(ii)
(iii) .
6. If is the complex cube root of unity and if
,
show that
(i)
(ii) .
7. If =1, prove that
.
8. If , prove that
.
9. If , prove that
.
10. Solve
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