RD Sharma Solutions Class 11 ComplExercise Numbers

RD Sharma Solutions Class 11 Chapter 13

The equations of the form \(x^{2}+1=0,x^{2}+4=0\) are not solvable in R i.e. there is no real numbers whose square is a negative real number. Euler was the first mathematician to introduce the symbol i (iota) for the square root of -1 i.e. a solution of  \(x^{2}+1=0\) with the property \(i^{2}=-1\).. He also called this symbol as the imaginary unit. If a, b are two real numbers, then a number of the form a + ib is called a complex number. Real and imaginary parts of a complex number: If z = a + ib is complex number, ‘a’ is called the real part of z and ‘b’ is known as the imaginary part of z. The real part z is denoted by Re (z) and the imaginary part by Im (z).

We will come across different operations on complex numbers such as addition, subtraction, multiplication, division, conjugate, modulus and reciprocal of complex numbers. Practise and understand these concepts in a structured manner using the solved examples in the given RD Sharma solutions for the chapter “Complex Numbers”.