Identify the type of conic section.
-Identify the type of conic section consisting of the set of all points in the plane for which the absolute value of the difference of the distances from the points $( 0,9 )$ and $( 0 , - 9 )$ is 4 .
A) Circle
B) Hyperbola
C) Ellipse
D) Parabola

Question

Quizplus · Accepted Answer

This description matches the definition of a hyperbola, which is the set of all points in the plane where the absolute value of the difference of the distances from two fixed points (the foci) is a constant. In this case, the two fixed points are $(0,9)$ and $(0,-9)$, and the constant difference is 4.

Identify the Type of Conic Section (0,9)( 0,9 )(0,9) And (0,−9)( 0 , - 9 )(0,−9)

Identify the Type of Conic Section $( 0,9 )$ And $( 0 , - 9 )$