Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

If \((a-2b) + i(2a-b) = 4 + 2i\), find a and b.
Options
A a = 0, b = -2
Correct Answer
B a = -2, b = -3
C a = 0, b = -4
D a = 2, b = -1
Correct Answer

Option A is the correct answer.

Detailed Explanation

Real parts: a - 2b = 4. Imaginary parts: 2a - b = 2. Solve: from second, b = 2a - 2. Substitute: a - 2(2a-2) = 4 ⇒ a - 4a + 4 = 4 ⇒ -3a = 0 ⇒ a = 0, then b = -2.

Hint

Equate real and imaginary parts separately, then solve the system.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 639 of 696
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