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NEST2018MathematicsComplex Number

Let z₁=a+i b and z₂=c+i d be complex numbers such that |z₁ |= |z₂ |=1 and Re (z₁ z₂ )=0 . Then the complex numbers w₁=a+i c and w₂=b+i d always satisfy

Options

  1. A|w₁ |= |w₂ |
  2. BRe (w₁ )= Im (w₂ )
  3. CRe (w₁ w₂ )=0
  4. DRe (w₁ w₂ )=2 Re (w₁ ) Re (w₂ )

Correct answer

D. Re (w₁ w₂ )=2 Re (w₁ ) Re (w₂ )

Step-by-step solution

No solution available.

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