## What's hot

Lesson 9 conic sections - ellipse
Lesson 9 conic sections - ellipse
Jean Leano

Conic sectioins
Conic sectioins

ellipse (An Introduction)
ellipse (An Introduction)
rey castro

Conic Sections- Circle, Parabola, Ellipse, Hyperbola
Conic Sections- Circle, Parabola, Ellipse, Hyperbola
Naman Kumar

Lesson 8 conic sections - parabola
Lesson 8 conic sections - parabola
Jean Leano

CONIC SECTIONS AND ITS APPLICATIONS
CONIC SECTIONS AND ITS APPLICATIONS
Jaffer Sheriff

Parabola
Parabola
itutor

Pre-Calculus: Conics - Introduction to Conics and Determining & Graphing Circ...
Pre-Calculus: Conics - Introduction to Conics and Determining & Graphing Circ...
Myrrhtaire Castillo

Properties of circle
Properties of circle
rey castro

Ellipse
Ellipse
itutor

Ellipse
Equations of circles
Equations of circles
lmrogers03

6.14.1 Arcs, Chords, and Angles
6.14.1 Arcs, Chords, and Angles
smiller5

Equation of Hyperbola
Equation of Hyperbola
itutor

parabola class 12
parabola class 12

Reynaldo San Juan

Ellipse
Ellipse
Jezreel David

Parabola
Parabola
heiner gomez

class 10 circles
class 10 circles

Conic sections
Conic sections
faizy8622

### What's hot(20)

Lesson 9 conic sections - ellipse
Lesson 9 conic sections - ellipse

Conic sectioins
Conic sectioins

ellipse (An Introduction)
ellipse (An Introduction)

Conic Sections- Circle, Parabola, Ellipse, Hyperbola
Conic Sections- Circle, Parabola, Ellipse, Hyperbola

Lesson 8 conic sections - parabola
Lesson 8 conic sections - parabola

CONIC SECTIONS AND ITS APPLICATIONS
CONIC SECTIONS AND ITS APPLICATIONS

Parabola
Parabola

Pre-Calculus: Conics - Introduction to Conics and Determining & Graphing Circ...
Pre-Calculus: Conics - Introduction to Conics and Determining & Graphing Circ...

Properties of circle
Properties of circle

Ellipse
Ellipse

Ellipse
Ellipse

Equations of circles
Equations of circles

6.14.1 Arcs, Chords, and Angles
6.14.1 Arcs, Chords, and Angles

Equation of Hyperbola
Equation of Hyperbola

parabola class 12
parabola class 12

Ellipse
Ellipse

Parabola
Parabola

class 10 circles
class 10 circles

Conic sections
Conic sections

## Similar to Conic Sections

Paso 4_Álgebra, trigonometría y Geometría Analítica
Paso 4_Álgebra, trigonometría y Geometría Analítica

math conic sections.pptx
math conic sections.pptx
VarshaSanjeev

Maths project
Maths project
Edward Kenway

Pre c alc module 1-conic-sections
Pre c alc module 1-conic-sections
Eclaro College

Conic_Sections_Hyperbolas FCIT compat.ppt
Conic_Sections_Hyperbolas FCIT compat.ppt
JovitoOriola

Plano Numérico
Plano Numérico
BrayanAcacioLinarez

Plano numerico
Plano numerico
DairelysSilva

Lecture co2 math 21-1
Lecture co2 math 21-1
Lawrence De Vera

Conic Sections Parabolas FCIT compat.ppt
Conic Sections Parabolas FCIT compat.ppt
arvin gutierrez

Ellipse.pptx
Ellipse.pptx
JanuaryRegio

114333628 irisan-kerucut
114333628 irisan-kerucut
hafifa asiah

114333628 irisan-kerucut
114333628 irisan-kerucut
aisha asiah

lesson4.-ellipse f.pptx
lesson4.-ellipse f.pptx
ninosulit

g11.pptx
g11.pptx
CharlesBuale1

Plano numerico
Plano numerico
PaolaMariangelaAlvar

Plano numerico
Plano numerico
PaolaMariangelaAlvar

Unit 13.5
Unit 13.5
Mark Ryder

parabola.pdf parabola القطع المكافئ math
parabola.pdf parabola القطع المكافئ math
Dr. Karrar Alwash

CarmenElisaRiosDiaz

Plano numérico
Plano numérico
MarisabelAcua

### Similar to Conic Sections(20)

Paso 4_Álgebra, trigonometría y Geometría Analítica
Paso 4_Álgebra, trigonometría y Geometría Analítica

math conic sections.pptx
math conic sections.pptx

Maths project
Maths project

Pre c alc module 1-conic-sections
Pre c alc module 1-conic-sections

Conic_Sections_Hyperbolas FCIT compat.ppt
Conic_Sections_Hyperbolas FCIT compat.ppt

Plano Numérico
Plano Numérico

Plano numerico
Plano numerico

Lecture co2 math 21-1
Lecture co2 math 21-1

Conic Sections Parabolas FCIT compat.ppt
Conic Sections Parabolas FCIT compat.ppt

Ellipse.pptx
Ellipse.pptx

114333628 irisan-kerucut
114333628 irisan-kerucut

114333628 irisan-kerucut
114333628 irisan-kerucut

lesson4.-ellipse f.pptx
lesson4.-ellipse f.pptx

g11.pptx
g11.pptx

Plano numerico
Plano numerico

Plano numerico
Plano numerico

Unit 13.5
Unit 13.5

parabola.pdf parabola القطع المكافئ math
parabola.pdf parabola القطع المكافئ math

Plano numérico
Plano numérico

Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
EduSkills OECD

Educational Technology in the Health Sciences
Educational Technology in the Health Sciences
Iris Thiele Isip-Tan

How to Manage Reception Report in Odoo 17
How to Manage Reception Report in Odoo 17
Celine George

BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
Nguyen Thanh Tu Collection

Simple-Present-Tense xxxxxxxxxxxxxxxxxxx
Simple-Present-Tense xxxxxxxxxxxxxxxxxxx

Brand Guideline of Bashundhara A4 Paper - 2024
Brand Guideline of Bashundhara A4 Paper - 2024
khabri85

HYPERTENSION - SLIDE SHARE PRESENTATION.
HYPERTENSION - SLIDE SHARE PRESENTATION.
deepaannamalai16

Skimbleshanks-The-Railway-Cat by T S Eliot
Skimbleshanks-The-Railway-Cat by T S Eliot
nitinpv4ai

A Visual Guide to 1 Samuel | A Tale of Two Hearts
A Visual Guide to 1 Samuel | A Tale of Two Hearts
Steve Thomason

INTRODUCTION TO HOSPITALS & AND ITS ORGANIZATION
INTRODUCTION TO HOSPITALS & AND ITS ORGANIZATION
ShwetaGawande8

Information and Communication Technology in Education
Information and Communication Technology in Education
MJDuyan

CIS 4200-02 Group 1 Final Project Report (1).pdf
CIS 4200-02 Group 1 Final Project Report (1).pdf
blueshagoo1

220711130082 Srabanti Bag Internet Resources For Natural Science
220711130082 Srabanti Bag Internet Resources For Natural Science
Kalna College

A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
OH TEIK BIN

SWOT analysis in the project Keeping the Memory @live.pptx
SWOT analysis in the project Keeping the Memory @live.pptx
zuzanka

THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
indexPub

220711130088 Sumi Basak Virtual University EPC 3.pptx
220711130088 Sumi Basak Virtual University EPC 3.pptx
Kalna College

JennySularte1

Data Structure using C by Dr. K Adisesha .ppsx
Data Structure using C by Dr. K Adisesha .ppsx

220711130083 SUBHASHREE RAKSHIT Internet resources for social science
220711130083 SUBHASHREE RAKSHIT Internet resources for social science
Kalna College

Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...

Educational Technology in the Health Sciences
Educational Technology in the Health Sciences

How to Manage Reception Report in Odoo 17
How to Manage Reception Report in Odoo 17

BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 8 - CẢ NĂM - FRIENDS PLUS - NĂM HỌC 2023-2024 (B...

Simple-Present-Tense xxxxxxxxxxxxxxxxxxx
Simple-Present-Tense xxxxxxxxxxxxxxxxxxx

Brand Guideline of Bashundhara A4 Paper - 2024
Brand Guideline of Bashundhara A4 Paper - 2024

HYPERTENSION - SLIDE SHARE PRESENTATION.
HYPERTENSION - SLIDE SHARE PRESENTATION.

Skimbleshanks-The-Railway-Cat by T S Eliot
Skimbleshanks-The-Railway-Cat by T S Eliot

A Visual Guide to 1 Samuel | A Tale of Two Hearts
A Visual Guide to 1 Samuel | A Tale of Two Hearts

INTRODUCTION TO HOSPITALS & AND ITS ORGANIZATION
INTRODUCTION TO HOSPITALS & AND ITS ORGANIZATION

Information and Communication Technology in Education
Information and Communication Technology in Education

CIS 4200-02 Group 1 Final Project Report (1).pdf
CIS 4200-02 Group 1 Final Project Report (1).pdf

220711130082 Srabanti Bag Internet Resources For Natural Science
220711130082 Srabanti Bag Internet Resources For Natural Science

A Free 200-Page eBook ~ Brain and Mind Exercise.pptx
A Free 200-Page eBook ~ Brain and Mind Exercise.pptx

SWOT analysis in the project Keeping the Memory @live.pptx
SWOT analysis in the project Keeping the Memory @live.pptx

THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...
THE SACRIFICE HOW PRO-PALESTINE PROTESTS STUDENTS ARE SACRIFICING TO CHANGE T...

220711130088 Sumi Basak Virtual University EPC 3.pptx
220711130088 Sumi Basak Virtual University EPC 3.pptx

Data Structure using C by Dr. K Adisesha .ppsx
Data Structure using C by Dr. K Adisesha .ppsx

220711130083 SUBHASHREE RAKSHIT Internet resources for social science
220711130083 SUBHASHREE RAKSHIT Internet resources for social science

### Conic Sections

• 1. CONIC SECTIONS By: Jasmin Joyce M. Terrado Candice P. Madrid
• 2. DEFINITIONS Conic Section: Any figure that can be formed by slicing a double cone with a plane Parabola Circle Ellipse Hyperbola
• 3. EQUATION OF A CONIC SECTION 2 2 0 where A, B, and C are not all zero. Ax Bxy Cy Dx Ey F     
• 4. DISTINCT PROPERTIES OF CONIC SECTIONS  Parabola: A = 0 OR C = 0  Circle: A = C  Ellipse: , but both have the same sign  Hyperbola: A and C have Different signs A C
• 5. 1. CIRCLE A circle is a simple closed shape. It is the set of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant. Standard Form: x² + y² = r² You can determine the equation for a circle by using the distance formula then applying the standard form equation. Or you can use the standard form. Most of the time we will assume the center is (0,0). If it is otherwise, it will be stated. It might look like: (x-h)² + (y – k)² = r²
• 6. II. PARABOLA A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and. a fixed straight line (the directrix ) STANDARD EQUATION OF A PARABOLA: Let the vertex be (h, k) and p be the distance between the vertex and the focus and p ≠ 0. (x−h)2=4p(y−k) (x−h)2=-4p(y−k)vertical axis; directrix is y = k - p (y−k)2=4p(x−h) (y−k)2=- 4p(x−h) horizontal axis; directrix is x = h - p
• 7. III. ELLIPSE An ellipse is an important conic section and is formed by intersecting a cone with a plane that does not go through the vertex of a cone. The ellipse is defined by two points, each called a focus. From any point on the ellipse, the sum of the distances to the focus points is constant. The position of the foci determine the shape of the ellipse. STANDARD EQUATION OF AN ELLIPSE:
• 8. IV. HYPERBOLA A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances between two fixed points stays constant. The two given points are the foci of the hyperbola, and the midpoint of the segment joining the foci is the center of the hyperbola.
Current LanguageEnglish
Español
Portugues
Français
Deutsche