Question: Which of the following is a purely imaginary number?
Options:
2 + 3i
0
4
0 + 5i
Correct Answer: 0 + 5i
Solution:
A purely imaginary number has no real part, so 0 + 5i is purely imaginary.
Which of the following is a purely imaginary number?
Practice Questions
Q1
Which of the following is a purely imaginary number?
2 + 3i
0
4
0 + 5i
Questions & Step-by-Step Solutions
Which of the following is a purely imaginary number?
Step 1: Understand what a purely imaginary number is. A purely imaginary number is a number that can be written in the form 0 + bi, where b is a real number and i is the imaginary unit.
Step 2: Identify the components of the number given. For example, in the number 0 + 5i, the real part is 0 and the imaginary part is 5.
Step 3: Check if there is any real part in the number. If the real part is 0, then the number is purely imaginary.
Step 4: Conclude that since the real part is 0 in 0 + 5i, it is indeed a purely imaginary number.
No concepts available.
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