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 sum of the distances from the point $$( 3,0 ) \text { and } ( - 3,0 ) \text { is } 21$$
A) Parabola
B) Ellipse
C) Circle
D) Hyperbola

Question

Quizplus · Accepted Answer

The given condition describes an ellipse, as an ellipse is the set of all points in the plane for which the sum of the distances from two fixed points (the foci) is constant. Here, the two fixed points are (3,0) and (-3,0), and the constant sum of distances is 21.

Identify the Type of Conic Section (3,0) and (−3,0) is 21( 3,0 ) \text { and } ( - 3,0 ) \text { is } 21(3,0) and (−3,0) is 21

Identify the Type of Conic Section $( 3,0 ) \text { and } ( - 3,0 ) \text { is } 21$