MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12th pass
        
How can we obtain the equation of line when a plane cut the cone? Please explain with the help of 3-D diagram. 
one month ago

Answers : (1)

Arun
15903 Points
							
 

Sections of a Cone

It depends upon the location of the plane with reference to the cone and the angle made by the vertical axis and the intersecting plane, that what kind of conic section we get. 


Sections of a Cone

Let the angle between intersecting plane and the vertical axis be ∅.

If the plane cuts the one nappe of the cone, such that,

  • Ɵ ellipse.

  • ∅ = 90°, when the plane is perpendicular at the axis, or the angle of intersection of plane and the vertical axis is equal to 90°, the ellipse becomes the circle. Or you can say that circle is the special type of ellipse, the section is circle.

  • Ɵ = ∅, when the angle between the vertical axis and the plane is equal to the vertex angle, we get an open curve called Parabola at the intersecting surface of the cone.

  • If the plane cuts the two nappes of the cone, such that,

  • Ɵ Hyperbola.
     

Degenerate conics

If a plane intersects the double right circular cone at the vertex of the cone, such that

  • When Ɵ point .

  • When Ɵ = ∅, in case of parabola, the plane contains a generator of the cone and the section is a straight line.

  • When 0 ≤ Ɵ pair of intersecting straight lines

Degenerate conics

 
one month ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 53 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 148 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details