Chapter 01: Number System FSc Part 1

Notes (Solutions) of Chapter 01: Number System, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents & summary

Rational numbers and irrational numbers
Properties of real numbers
Complex numbers
- Operation on complex numbers
- Complex numbers as ordered pairs of real numbers
- Properties of the foundamental operations on complex numbers
- A special subset of $C$
The real line

Real plane or coordinate plane
Geometrical representation of complex numbers, the complex plane
To find real and imaginary parts of (i) $(x + i y)^{n}$ (ii) ${(\frac{x_{1} + i y_{1}}{x_{2} + i y_{2}})}^{n}, x_{2} + i y_{2} \neq 0$