Chapter 01: Number System
Notes (Solutions) of Chapter 01: Number System, Textbook 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 fundamental 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+iy)n (ii) (x1+iy1x2+iy2)n,x2+iy2≠0
Did you know √−1=i is misleading?
The square root of complex number has many values with two distinct values. √−1 has two distinct values i and −i. This fact can be verified by taking square of i and −i, which give the same answer −1. It is different to say i2=−1 and √−1=i unless we define √−1 as principal square root of complex number. (see detail answer here)
The square root of complex number has many values with two distinct values. √−1 has two distinct values i and −i. This fact can be verified by taking square of i and −i, which give the same answer −1. It is different to say i2=−1 and √−1=i unless we define √−1 as principal square root of complex number. (see detail answer here)
Solutions
- Exercise 1.3 (Handwritten) | View Online | Download PDF
Short Questions
The following short questions of this chapter was send by Mr. Akhtar Abbas.
