Question Detail
Question
Given that z₁ = i and z₂ = 1-i. Find z₁/z₂
Correct Answer
Option A is the correct answer.
Detailed Explanation
z₁/z₂ = i/(1-i). Multiply numerator and denominator by the conjugate (1+i): i(1+i)/((1-i)(1+i)) = i + i²/(1² - i²) = i - 1/(1+1) = (i-1)/2 = (i-1)/2.
Hint
Multiply numerator and denominator by the conjugate of the denominator.