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AP EAMCET20227 Jul 2022Morning ShiftMathematicsComplex NumberActual

Let z and w be two complex numbers such that z +i w =0 and Arg (z w)= . Then, Arg z=

Options

  1. A3 4
  2. B2
  3. C5 4
  4. D4

Correct answer

A. 3 4

Step-by-step solution

Given, z +i w =0 z -i w =0 [ i =-i] z - i w =0 [ z₁ z₂ = z ₁ z ₂ ] z-i w =0 [ z ₁- z ₂= z ₁- z ₂ ] z-i w=0z=i w According to question, (z w)= array lll & z+ w= & & z+ ( z i )= [ z=i w] array z+ z- (i)= 2 (z)- 2 = (z)= 3 4

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