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KCET2008MathematicsComplex Number

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

Options

  1. Ais purely real
  2. Bis purely imaginary
  3. Cis any complex number
  4. Dreal part of is the same as its imaginary part

Correct answer

B. is purely imaginary

Step-by-step solution

Let z = x + iy Given, z =- z array lc & x+i y=-( x+i y ) & x+i y=-(x-i y) & 2 x=0 & x=0 array Hence, z is a purely imaginary.

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