Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Suppose that \((x + y) + i(x - y) = 4\), find \(x - y\) in the equation
Options
A \(\frac{4}{i}\)
B 0
Correct Answer
C \(2i\)
D \(i\sqrt{2} \cdot i\sqrt{2}\)
Correct Answer

Option B is the correct answer.

Detailed Explanation

The RHS is (4 = 4 + 0i). So real parts: (x+y=4), imaginary parts: (x-y=0). Thus (x-y=0).

Hint

Equate real and imaginary parts separately.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 580 of 696
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