1. If (a+ib)(c+id) = (p+iq), prove that
(i)(a²+b²)(c²+d²) = p²+q²
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
6. State and prove De Moivre's theorem.
7. Find all the values of
8. Solve the equation
10. Find the conjugate of
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.