Math Problem Statement

If the plane and the base of the cone is perpendicular with each other, what conic section will be formed?

Solution

The question in the image asks:

"If the plane and the base of the cone is perpendicular with each other, what conic section will be formed?"

When a plane intersects a cone perpendicularly to the base, the conic section formed is a parabola.

Thus, the correct answer is:

  • d. Parabola

Would you like more details on conic sections, or do you have any further questions?

Here are some related questions:

  1. What are the different types of conic sections and how are they formed?
  2. What is the general equation of a parabola, and how is it derived?
  3. How can you identify conic sections from their equations?
  4. What are real-world examples of parabolas and their applications?
  5. How do hyperbolas differ from parabolas in terms of their geometric properties?

Tip: Conic sections are formed by slicing a double-napped cone with a plane at different angles. The angle of intersection determines the type of conic section (circle

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Math Problem Analysis

Mathematical Concepts

Geometry
Conic Sections

Formulas

-

Theorems

Conic Sections Intersection Theorem

Suitable Grade Level

Grades 10-12