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Question

Statement-I : if z1 and z2 are two nonzero complex numbers such that open vertical bar z subscript 1 plus z subscript 2 close vertical bar equals open vertical bar z subscript 1 close vertical bar plus open vertical bar z subscript 2 close vertical bar then arg space z subscript 1 minus arg space z subscript 2 is π/2.
Statement-II : z1 and z2 are two complex numbers such that open vertical bar z subscript 1 z subscript 2 close vertical bar equals 1 and arg space z subscript 1 minus arg space z subscript 2 is π/2 then Error converting from MathML to accessible text.

  1. Only  is true
  2. Only II is true

  3. Both I and II are true

  4. Neither I nor II are true

The correct answer is:

Only II is true

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