Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2008-01-05 23:11:42

ganesh
Moderator
Registered: 2005-06-28
Posts: 15,216

Pre-University - III

Complex Numbers

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

(i)(a²+b²)(c²+d²) = p²+q²

(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.

Offline

Board footer

Powered by FluxBB