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Complex Numbers question

2021 · 26 Aug · Shift 1 · Q29
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  5. /2021 · 26 Aug · Shift 1 · Q29

Complex Numbers question

2021 · 26 Aug · Shift 1 · Q29

JEE MainMathematicsComplex NumbersMCQ+4 / −1
The equation arg⁡(z−1z+1)=π4\arg \left( {{{z - 1} \over {z + 1}}} \right) = {\pi \over 4}arg(z+1z−1​)=4π​ represents a circle with :
  1. A
    centre at (0, −-− 1) and radius 2\sqrt 22​
  2. B
    centre at (0, 1) and radius 2\sqrt 22​
  3. C
    centre (0, 0) and radius 2\sqrt 22​
  4. D
    centre at (0, 1) and radius 2
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