Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
2 answers:
Answer:
The geometric object that matches the definition is the parabola.
Step-by-step explanation:
A parabola is the set of all points in a plane equidistant from a fixed point (the focus) and a fixed-line (the directrix) that lie in the plane.
A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.
An angle bisector is a line or ray that divides an angle into two congruent angles.
A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances between two fixed points stays constant.
Therefore the geometric object that matches the definition is the parabola.
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