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Let arg(z) represent the principal argument of the complex number z. Then, |z| = 3 and arg(z $$-$$ 1) $$-$$ arg(z + 1) = $${\pi \over 4}$$ intersect :

JEE · Math · previous-year question

  1. A.exactly at one point.
  2. B.exactly at two points.
  3. C.nowhere.
  4. D.at infinitely many points.

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