True or false about conic sections

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Conics come from slicing a cone.

2. Statement is true

   No

   Statement

   An ellipse uses the difference of distances.

3. Statement is true

   Yes

   Statement

   A hyperbola uses the difference of distances.

4. Statement is true

   No

   Statement

   The directrix is a fixed point.

5. Statement is true

   Yes

   Statement

   A cut at the vertex can give a single point.

6. Statement is true

   Yes

   Statement

   Apollonius named the parabola.

Instructions

Decide whether each statement is true or false.

Explanation