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Complex Numbers question

2021 · 18 Mar · Shift 2 · Q28
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  5. /2021 · 18 Mar · Shift 2 · Q28

Complex Numbers question

2021 · 18 Mar · Shift 2 · Q28

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let a complex number be w = 1 −3-{\sqrt 3 }−3​ i. Let another complex number z be such that |zw| = 1 and arg(z) −-− arg(w) =π2{\pi \over 2}2π​. Then the area of the triangle with vertices origin, z and w is equal to :
  1. A
    4
  2. B
    14{1 \over 4}41​
  3. C
    2
  4. D
    12{1 \over 2}21​
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