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MTH 101 MTH 101 Past Questions Objective Question
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Question

The modulus and argument of \(\sqrt{3} + \sqrt{2}i\) are
Options
A \(\sqrt{5}, \tan^{-1}\left(\sqrt{\frac{2}{3}}\right)\)
Correct Answer
B \(\sqrt{5}, \tan^{-1}\left(\sqrt{\frac{3}{2}}\right)\)
C \(\sqrt{7}, \tan^{-1}\left(\sqrt{\frac{2}{3}}\right)\)
D \(\sqrt{7}, \tan^{-1}\left(\sqrt{\frac{3}{2}}\right)\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Modulus = √((√3)² + (√2)²) = √(3+2) = √5. Argument = tan⁻¹(√2/√3) = tan⁻¹(√(2/3)).

Hint

Modulus = √(a²+b²), argument = tan⁻¹(b/a).

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 650 of 696
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