Let \(z\) be a given complex number with modulus \(|z| \lt 1\). Then the set \(\left\{\frac{z-w}{1-\bar{z} w}:|w|=1, w \in \mathbb{C}\right\}\) is a

• A

  Straight line
• B

  Hyperbola
• Correct answer
  C

  Circle
• D

  Parabola

Hence, the correct answer is option: 'C'.