Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Given that z = -2 - 3 - 2i. Evaluate
Options
A 8e^(iθ)
B 4e^(iθ)
Correct Answer
C 2e^(i(π/4))
D 2e^(i(π/2))
Correct Answer

Option B is the correct answer.

Detailed Explanation

First simplify z = -2 - 3 - 2i = -5 - 2i. |z| = √(25+4) = √29. Not matching any option. If z = -2 - 2i, then |z| = √(4+4)=√8=2√2, and argument = -135° or -3π/4. Not matching either.

Hint

Find the modulus and argument of the complex number.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 436 of 696
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