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Complex Numbers question

2019 · 10 Apr · Shift 2 · Q39
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  5. /2019 · 10 Apr · Shift 2 · Q39

Complex Numbers question

2019 · 10 Apr · Shift 2 · Q39

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = π2{\pi \over 2}2π​ , then :
  1. A
    zw‾=1−i2z\overline w = {{1 - i} \over {\sqrt 2 }}zw=2​1−i​
  2. B
    z‾w=i\overline z w = izw=i
  3. C
    zw‾=−1+i2z\overline w = {{ - 1 + i} \over {\sqrt 2 }}zw=2​−1+i​
  4. D
    z‾w=−i\overline z w = -izw=−i
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