Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Given that z₁ = 1 - i and z₂ = 1 + i, find the product of z₁ and z₂.
Options
A 1/2(2+3i)
B 2(1+i)
C 2
Correct Answer
D 3-3i
Correct Answer

Option C is the correct answer.

Detailed Explanation

z₁ × z₂ = (1 - i)(1 + i) = 1² - i² = 1 - (-1) = 1 + 1 = 2.

Hint

Use the difference of squares formula (a-b)(a+b) = a² - b².

Question Info