CONIC SECTION Flashcards
Conics
The sections obtained by the intersection of a right circular cone by a plane in different positions relative to the axis of the cone
Different types of conic sections
Ellipse
Parabola
Hyperbola
Rect. Hyperbola
Ellipse:
when a solid cone is cut by a section plane or cutting plane such that it is inclined to both of its generator principle axis then the shape generated will be an ellipse.
Applications of an ellipse
man-holes, arches, bridges, dam
Parabola
When a cutting plane or a section plane cuts the solid cone such that it is parallel to one of its generator then this shape generated will be a parabola
eccentricity of ellipse`
e<1
eccentricity of parabola
e=1
applications of parabola
sound reflectors and light reflectors
Hyperbola
when a cutting plane or section plane cuts the solid cone such that it is inclined to generators, principle axis and intersects only one generator then the shape generated will be a hyperbola.
eccentricity of hyperbola
e>1
Applications of hyperbola
cooling tower and water channels
Different methods of construction of ellipse
1)By general method
2)arcs of circle method
3)cocentric circle method
4)oblong method
I) rectangle method
II) parallelogram method
Different methods of construction of parabola
1) by general method
2) by tangent method
3)oblong method
I) rectangle method
II) parallelogram method
Different methods of construction of hyperbola
By general method
Different methods of construction of rectangular hyperbola
By general method
