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COMEDK2019MathematicsComplex Number

If Z is a complex number such that Z=- Z , then

Options

  1. AZ is purely real.
  2. BZ is purely imaginary.
  3. CZ is any complex number.
  4. DReal part of Z is the same as its imaginary part.

Correct answer

B. Z is purely imaginary.

Step-by-step solution

Let Z=x+i y Then, Z =x-i y Now, it is given that aligned & Z &=- Z & x+i y &=-(x-i y) & x+i y &=-x+i y & & 2 x &=0 & x &=0 aligned Z is purely imaginary.

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