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 distance from the poin $( - 4,0 ) \text { is one-fourth of the distance from the line } x = - 10 \text {. }$
A) Parabola
B) Hyperbola
C) Circle
D) Ellipse

Question

Quizplus · Accepted Answer

This is an ellipse because the set of points where the distance to a point (focus) is a constant fraction (less than 1) of the distance to a line (directrix) defines an ellipse.

Identify the Type of Conic Section (−4,0) is one-fourth of the distance from the line x=−10. ( - 4,0 ) \text { is one-fourth of the distance from the line } x = - 10 \text {. }(−4,0) is one-fourth of the distance from the line x=−10.

Identify the Type of Conic Section $( - 4,0 ) \text { is one-fourth of the distance from the line } x = - 10 \text {. }$