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#1 2008-01-06 22:11:42

ganesh
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Pre-University - III

Complex Numbers

1. If (a+ib)(c+id) = (p+iq), prove that

(i)(a+b)(c+d) = p+q

(ii)



2. Solve


3. Show that the points representing the complex numbers 7+9i, -3-7i, and 3+3i form a right-angled triangle on the Argand plane.

4. Solve completely


5. If
, prove that
and
.

6. State and prove De Moivre's theorem.

7. Find all the values of


8. Solve the equation

given that (2-i) is a root of the equation.

9. Solve


10. Find the conjugate of


Character is who you are when no one is looking.
 

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