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#1 2008-12-30 03:07:41

ganesh
Moderator
Registered: 2005-06-28
Posts: 14,803

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


Character is who you are when no one is looking.

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