The foci of an ellipse lie on the major axis of the ellipse.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Answer

A. True

Explanation

In the geometry of an ellipse, the definition states that it is the set of all points for which the sum of the distances to two fixed points (the foci) is a constant. The major axis of an ellipse is the longest diameter of the ellipse that runs through both foci. Therefore, by definition, the foci of an ellipse are located along the major axis.

This characteristic distinguishes ellipses from other conic sections, such as parabolas and hyperbolas, which have different configurations for their foci. The key takeaway is that in an ellipse, the foci are always aligned with the major axis, confirming that the statement is true.