Question

Classify the number 11-6i

A) Real number
B) Complex number
C) imaginary number

Answer 1

b is the answer (complex number)

Answer 2

The number
`11-6i` is B) complex number.

Given:

`11-6i`

Solution:

Here, let’s first see the type of numbers given in the options:

A) Real number:

The numbers which are used to denote the distance is real numbers. The numbers which come under real numbers is rational numbers and irrational numbers.

For example, -5, 2/3,
`√(5)`, and so on.

B) Complex number:

The complex numbers are always written as:

`a \pm i b`

Where ‘a’ and ‘b’ are real numbers and ‘i’ is imaginary number. Complex number is a set of all the numbers.

C) Imaginary number:

The numbers which doesn’t exist is imaginary number.

For example, the square is always positive, we cannot get a negative number as a square. So, the square root of the negative number becomes an imaginary number because that number doesn’t exist.

The imaginary number is denoted with ‘i’ where,

`i=√(-1)`

So, the given number is a complex number which has real number ‘11’ and imaginary number ‘6i’.