# Conic Sections - Ellipse

50 %
50 %
Information about Conic Sections - Ellipse
Education

Published on February 27, 2014

Author: ednexa

Source: slideshare.net

## Description

Conic Sections - Ellipse by ednexa.com

Ellipse 1. Equation of the tangent to the ellipse i. at P (x1, y1) is ii. at P (θ) is x 2 y2  1 a 2 b2 xx1 yy1  2 1 a2 b x y cos   sin   1 a b iii. in terms of slope m is y = mx  point of contact is P   a m , b  .   2  c c  at P (θ) is x 2 y2  1 a 2 b2 at P (x1,y1) is ii. and 2 2. Equation of the normal to the ellipse i. a 2m2  b2 a 2 x b2 y   a 2  b2 x1 y1 ax by   a 2  b2 . cos  sin  3. Equation of the director circle of the ellipse is x2 + y2 = a2 + b2. 4. If the tangent at P on the ellipse meets the directrix in F, then PF subtends a right angle at the corresponding focus.

5. The tangent and normal at any point of the ellipse bisect the external and internal angles between the focal radii to that point. 6. The product of the lengths of perpendicular segments from the foci an any tangent to the ellipse x  y  1 is b2. 2 2 a2 b2 Keep on visiting www.ednexa.com for more study materials. -Team Ednexa

## Add a comment

 User name: Comment:

## Related presentations

#### Pointers To Consider While Choosing The Right Trai...

December 13, 2017

#### Is Your Child Getting the Right

December 13, 2017

#### What to study in theory for JEE Mains 2018 Examina...

December 13, 2017

#### Learn Math Concepts Effectively from Math Help Onl...

December 13, 2017

#### Attractive Features of Perfect Sociology Assignmen...

December 13, 2017

#### Tips for Increasing the Child care Enrollment

December 13, 2017

## Related pages

### Conic Sections: Ellipses - AlgebraLAB: Making Math and ...

Derivation: We calculate the distance from the point on the ellipse (x, y) to the two foci, (0, 3) and (0, -3). This total distance is 10 in this example:
Read more

### Conic section - Wikipedia, the free encyclopedia

In mathematics, a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a ...
Read more

### Conics: Ellipses: Introduction - Purplemath, Inc

Sections: Introduction, Finding information from the equation, Finding ... so the distance across the ellipse in the "shorter" direction is 2b.
Read more

### SparkNotes: Conic Sections: Ellipses and Circles

A summary of Ellipses and Circles in 's Conic Sections. Learn exactly what happened in this chapter, scene, or section of Conic Sections and what it means.
Read more

### Conic Sections - Math2.org

Circle: Ellipse (h) Parabola (h) Hyperbola (h) Definition: A conic section is the intersection of a plane and a cone. Ellipse (v) Parabola (v) Hyperbola (v)
Read more

### Conic sections: Intro to ellipses | Ellipses | Khan Academy

Introduction to the ellipse. ... If you're seeing this message, it means we're having trouble loading external resources for Khan Academy.
Read more

### Conic Sections: Ellipses - Deering High Mathematics

©7 o2l0 k1S1 D kK uStoa f pS RoCfGtYwiaZrnex XL2L rC W.s u xAblrlW 0riAgDhzt 3s u 9rAe esae8rIv ZePd 0.W c kM5aidue S Ew1iYt 6hd 9IGnBfmifn zintoe V ...
Read more

### Conic Sections -- Ellipse - YouTube

Conic Sections -- Ellipse: Tutorial on conic sections shaped like ellipses, defining the vertices foci, and axes of symmetry, using the standard ...
Read more

### Conic Sections: An Overview - Purplemath

Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.
Read more

### Conic Sections - Ellipses - Naser Heravi, Professor - CIT ...

Definition of an Ellipse as derived from an Intersection of a Plane with a Double-Napped Cone. An ellipse is the set of all points (x, y) the sum of ...
Read more