Select the correct conic for each of the definitions Set of

Select the correct conic for each of the definitions.

Set of all points in the plane such that the sum of the distances to two fixed points is constant.

Set of all points equidistant to a fixed point.

Set of all points in the plane such that the difference of the distances between two fixed points is a constant.

Set of all points in the plane that are equidistant from a fixed point and a fixed line.

Solution

Set of all points in the plane such that the sum of the distances to two fixed points is constant.

----> Ellipse

Set of all points equidistant to a fixed point.

----> Circle

Set of all points in the plane such that the difference of the distances between two fixed points is a constant.

----> Hyperbola

Set of all points in the plane that are equidistant from a fixed point and a fixed line.

----> Parabola