CONIC SECTION
Definition Of Conic Section --gg
Conic Section deals with a group of curves obtained when a plane intersects a double cone.
More About Conic Section
Double Cone: A double cone is made up of two right circular cones placed vertex to vertex.
Conic section includes circles, ellipses, parabolas, and hyperbolas.
Video Examples: Introduction to Conic Sections
Solved Example on Conic Section
Ques: If a right circular cone is cut with a plane perpendicular to the axis of the cone, then the resultant cross section would be:
Choices:
A. a hyperbola
B. a circle
C. an ellipse
D. a parabola
Correct Answer: B
Solution:
Step 1: The plane is perpendicular to the axis of the cone or parallel to its base. So, the resultant cross section would be a circle.
Quick Summary
- Conic sections include circles, ellipses, parabolas, and hyperbolas.
- They are formed by the intersection of a plane and a double cone.
🍎 Teacher Insights
Use physical models to demonstrate the formation of conic sections.🎓 Prerequisites
- Algebra
- Coordinate Geometry
Check Your Knowledge
Q1: What conic section is formed when a plane intersects a cone perpendicular to its axis?
Frequently Asked Questions
Q: What are the different types of conic sections?
A: The different types of conic sections are circles, ellipses, parabolas, and hyperbolas.
Q: How are conic sections formed?
A: Conic sections are formed by the intersection of a plane and a double cone at different angles.