Friday 19 December 2014

What do you mean by Conic Sections?

Understand the meaning of Conic Sections. click on the link to Watch the VIDEO explanation: Watch Video


Conic Sections
When a solid is cut by a plane the curve common to the solid and the plane i.e. the curve which lies on the surface of the solid and the plane is called section of the solid by a plane.
Let's consider a rectangular parallelopiped  
Drag the plane and cut the rectangular parallelopiped  perpendicular to one of its faces. Click the button to see the sectional view.
The section i.e. seen is a rectangle. 
 Conics are the cross section of a cone when it is cut by a plane at different angles which are as shown 
Drag the plane and cut the cone. Click on the button.
Now, you see the sectional view which shows an Ellipse whose axis is at the angle beta to the axis of the cone. 
Drag the plane and cut the cone. Click on the button.
The sectional view which shows a parabola whose axis is inclined at an angle alpha to A A dash.
Drag the plane and cut the cone. Click on the button.
The sectional view which shows a hyperbola whose axis is inclined at an angle beta to the axis of the cone.

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