Spot the false statement

Exercise and reference answers

Questions

1. False statement

   A parabola cuts through both nappes

   Statements

   1. A circle needs the plane square to the axis
   2. A hyperbola cuts through both nappes
   3. A parabola cuts through both nappes

2. False statement

   A circle has two foci by definition

   Statements

   1. A circle has two foci by definition
   2. The vertex splits the cone into two nappes
   3. Apollonius named parabola and hyperbola

3. False statement

   An ellipse holds the difference constant

   Statements

   1. A section at the vertex may be a point
   2. An ellipse holds the difference constant
   3. A parabola has a focus and a directrix

4. False statement

   A conic can be cut from a cylinder

   Statements

   1. Conics model planetary motion
   2. Conics are used in telescope design
   3. A conic can be cut from a cylinder

Instructions

Two statements are true and one is false. Tap the false one.

Explanation