gaokao 2020 Q6

gaokao · China · national-III-arts 5 marks Conic sections Locus and Trajectory Derivation
In the plane, $A , B$ are two fixed points and $C$ is a moving point. If $\overrightarrow { A C } \cdot \overrightarrow { B C } = 1$, then the locus of point $C$ is
A. a circle
B. an ellipse
C. a parabola
D. a line
In the plane, $A , B$ are two fixed points and $C$ is a moving point. If $\overrightarrow { A C } \cdot \overrightarrow { B C } = 1$, then the locus of point $C$ is\\
A. a circle\\
B. an ellipse\\
C. a parabola\\
D. a line