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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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