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Let z ≠ −i be any complex number such that  is a purely imaginary number. Then  is
  • a)
    0
  • b)
    any non-zero real number other than 1 
  • c)
    any non- zero real number
  • d)
    a purely imaginary number
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let z ≠ −i be any complex number such thatis a purelyimaginar...
Let’s consider z = x + iy
The expression is,


This term cannot be purely imaginary. Thus,  is any non-
zero real number.
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Let z ≠ −i be any complex number such thatis a purelyimaginary number. Thenisa)0b)any non-zero real number other than 1c)any non- zero real numberd)a purely imaginary numberCorrect answer is option 'C'. Can you explain this answer?
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