Answer :
The complex number (z = 4 - i) has a distance √17. Then option D is correct.
What is a complex number?
Every complex number may be represented in the form of a + bi. A complex number is an element of a number system that extends the real numbers with a particular element labeled sometimes known as the imaginary unit.
The complex number is represented as:-
z = a + bi
The mode of the complex number is calculated as:-
[tex]||z|| =\sqrt{a^2+b^2}[/tex]
For option D we have z = 4 - i here a = 4 and b = -1 put the values.
[tex]||z|| =\sqrt{(4)^2+(-1)^2}[/tex]
||z|| = √17
Hence, option D is correct.
The complete options are given below:-
A. ( 2 - 15i )
B. ( 17 - i20 )
C . – 3i
D. ( 4 – i )
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