Question

Match each Conic with its locus definition

Circle ____
O Set of points, suen that the sum of the distances to two fixed points is a constant.
O Set of points, such that the difference of the distances to two fixed points is a constant.
O Ellipse Set of points that are equidistant from a line and a fixed point
O Set of points equidistant from a fixed point.

Answer 1

An ellipse is a closed curve where the sum of the distances from a point on the curve to the two foci is constant. A circle is a special case of an ellipse where the two foci coincide. To draw an ellipse, you can place a pin at each focus and wrap a string around a pencil and the pins, tracing a line on paper.

Step-by-step explanation:

An ellipse is a closed curve such that the sum of the distances from a point on the curve to the two foci is a constant. This means that the sum of the distances from any point on the ellipse to the two fixed points (foci) inside the ellipse is always the same. The foci are the two special points inside the ellipse.

On the other hand, a circle is a special case of an ellipse where the two foci coincide. In a circle, any point on the circle is the same distance from the center.

To draw an ellipse, you can place a pin at each focus and then wrap a string around a pencil and the pins, tracing a line on paper. If the two foci occupy the same place, the result is a circle.