GATE IN 2024 | Question: 1

Question

​​​Let $\boldsymbol{z}=x+i y$ be a complex variable and $\overline{\boldsymbol{z}}$ be its complex conjugate. The equation $\bar{z}^{2}+z^{2}=2$ represents a

• A. parabola
• B. hyperbola
• C. ellipse
• D. circle