UPSC NDA Math Model Paper 7

Let z = x + iy be any complex number.
⇒zˉ = x − iy
Given, z = -z̅
⇒ (x + iy) = - (x - iy)
⇒ x + iy = - x + iy
⇒ 2x = 0
i.e The real part of z is zero.
Hence, If z = -z̅, then the real part of z is zero.