Question

The set of points with the property that the distances from each point to two fixed points has constant difference is a?

Answer 1

This is a definition. Do you have some definitions you have been taught lately? Like parabolas, hyperbolas, things of this nature?

Answer 2

I didn't bring my notebook at school.

Answer 3

I bet you could google it:)

Answer 4

I did. They were all confusing. The way they were describing the circle, parabola, and hyperbola. Or it's just me and I can't make sense of it right now. -.-

Answer 5

* Circle. A circle is the set of points P in a plane that are a fixed distance r called the radius from a specified point O called the center. Using GSP and identifying the center and the radius, create the circle:

* Ellipse. An ellipse is the locus of points the sum of whose distance from two fixed points is constant. The two fixed points are called the foci of the ellipse, and the midpoint of the line segment joining the foci is called the center. The points where the ellipse crosses the line through the foci are called vertices of the ellipse. The chord of the ellipse joining the vertices is called the major axis, and the chord through the center perpendicular to the major axis is called the minor axis. Identify the fixed points as A and B (these are the foci) and use GSP to create an ellipse.

* Parabola. A parabola is the set of all points in a plane such that each point in the set is equidistant from a line called the directrix and a fixed point called the focus. The line through the focus perpendicular to the directrix is called the axis, and the point where the parabola crosses its axis is called the vertex. The directed distance from the vertex to the focus is called the focal length, and is usually denoted p. If the focus is either to the right of or above the vertex, then the value of p is positive; if the focus is either to the left of or below the vertex, then the value of p is negative.

* Hyperbola. A hyperbola is the set of points in a plane for which the absolute value of the difference in their distances from two fixed points in the plane is a constant. Just as with the ellipse, we called the fixed points the foci, and the midpoint of the line segment joining the foci is called the center. The line through the foci is called the transverse axis. The vertices are the points where the hyperbola crosses its transverse axis. The distance from the center to either of the vertices is a. Let c be the distance from each focus to the center. Then c is called the focal length.

Answer 6

which do you think it is?

Answer 7

notice that absolute value of the difference of two numbers is there distance from each other.

Answer 8

and the x,y plane is, well, a plane:)

Answer 9

its the last one.

Answer 10

Thank you for the definition. Very well appreciate your help!