SlideShare une entreprise Scribd logo
1  sur  7
CONIC SECTIONS

  THE ELLIPSE
ELLIPSE
 - Set of all points such that the sum of the
  distances from two fixed points, called the
  foci, is constant.
PARTS

Center
Vertices
Foci – the two fixed points
Major Axis - longer chord passing through
      either of the foci and parallel the major
      axis
Minor Axis – shorter chord perpendicular to
      the major axis passing through the
      center
Latera Recta
   - Plural form of latus rectum
   - chords passing through the foci
    perpendicular to the center
Directrix
   - fixed lines outside the ellipse parallel to
    the minor axis
RELATIONSHIP BETWEEN PARTS

Center to Vertex – a
Center to Minor Axis – b
Center to Focus – c
Diagonal Distance of a
c2 = a2 - b2
Major Axis – 2a
Minor Axis – 2b
STANDARD FORM
    Major Axes          C(0,0)   C(h,k)   Graph




Horizontal Major Axis




   Vertical Major
        Axis
EXAMPLES


1.




2.

Contenu connexe

Tendances (20)

Basic Terms of circles
Basic Terms of circlesBasic Terms of circles
Basic Terms of circles
 
Circle ppt
Circle pptCircle ppt
Circle ppt
 
Parts of-a-circle
Parts of-a-circleParts of-a-circle
Parts of-a-circle
 
Parts of a circle
Parts of a circleParts of a circle
Parts of a circle
 
Circles
CirclesCircles
Circles
 
Parts of a_circle
Parts of a_circleParts of a_circle
Parts of a_circle
 
slide
slideslide
slide
 
Basic Concepts of Circles
Basic Concepts of CirclesBasic Concepts of Circles
Basic Concepts of Circles
 
ppt on circles
ppt on circlesppt on circles
ppt on circles
 
Parts of a Circle
Parts of a CircleParts of a Circle
Parts of a Circle
 
Triangles
TrianglesTriangles
Triangles
 
Veena slide 1
Veena slide 1Veena slide 1
Veena slide 1
 
Plane angle
Plane anglePlane angle
Plane angle
 
Cirlce
CirlceCirlce
Cirlce
 
Circle theorems
Circle theoremsCircle theorems
Circle theorems
 
Properties of circle
Properties of circleProperties of circle
Properties of circle
 
Circle theorems
Circle theoremsCircle theorems
Circle theorems
 
Circles
CirclesCircles
Circles
 
Points Of Concurrency In Triangles
Points Of Concurrency In TrianglesPoints Of Concurrency In Triangles
Points Of Concurrency In Triangles
 
Circles PPT
Circles PPTCircles PPT
Circles PPT
 

Similaire à Ellipse (Advanced Algebra)

435759541-Conic-Sections-Ellipse-Final.pptx
435759541-Conic-Sections-Ellipse-Final.pptx435759541-Conic-Sections-Ellipse-Final.pptx
435759541-Conic-Sections-Ellipse-Final.pptx
michael619321
 
Lesson 9 conic sections - ellipse
Lesson 9    conic sections - ellipseLesson 9    conic sections - ellipse
Lesson 9 conic sections - ellipse
Jean Leano
 
Pre Calculus - Introduction to the Conic Section :Ellipse
Pre Calculus - Introduction to the Conic Section :EllipsePre Calculus - Introduction to the Conic Section :Ellipse
Pre Calculus - Introduction to the Conic Section :Ellipse
Gene95739
 
Lecture #7 analytic geometry
Lecture #7 analytic geometryLecture #7 analytic geometry
Lecture #7 analytic geometry
Denmar Marasigan
 
conicsection-ppt-130124134216-phpapp01 (1).pdf
conicsection-ppt-130124134216-phpapp01 (1).pdfconicsection-ppt-130124134216-phpapp01 (1).pdf
conicsection-ppt-130124134216-phpapp01 (1).pdf
RajJaiswal715327
 
pre-cal first topic.pptx/PRE-CAL/PPTX.123
pre-cal first topic.pptx/PRE-CAL/PPTX.123pre-cal first topic.pptx/PRE-CAL/PPTX.123
pre-cal first topic.pptx/PRE-CAL/PPTX.123
JosephMuez2
 
Group-9-EDITED.pptx
Group-9-EDITED.pptxGroup-9-EDITED.pptx
Group-9-EDITED.pptx
ArcKai
 

Similaire à Ellipse (Advanced Algebra) (20)

435759541-Conic-Sections-Ellipse-Final.pptx
435759541-Conic-Sections-Ellipse-Final.pptx435759541-Conic-Sections-Ellipse-Final.pptx
435759541-Conic-Sections-Ellipse-Final.pptx
 
Lesson 9 conic sections - ellipse
Lesson 9    conic sections - ellipseLesson 9    conic sections - ellipse
Lesson 9 conic sections - ellipse
 
Precal 3-4.pptx
Precal 3-4.pptxPrecal 3-4.pptx
Precal 3-4.pptx
 
Pre Calculus - Introduction to the Conic Section :Ellipse
Pre Calculus - Introduction to the Conic Section :EllipsePre Calculus - Introduction to the Conic Section :Ellipse
Pre Calculus - Introduction to the Conic Section :Ellipse
 
Lecture #7 analytic geometry
Lecture #7 analytic geometryLecture #7 analytic geometry
Lecture #7 analytic geometry
 
Conic section
Conic sectionConic section
Conic section
 
conicsection-ppt-130124134216-phpapp01 (1).pdf
conicsection-ppt-130124134216-phpapp01 (1).pdfconicsection-ppt-130124134216-phpapp01 (1).pdf
conicsection-ppt-130124134216-phpapp01 (1).pdf
 
Conics
ConicsConics
Conics
 
Ellipse.pptx
Ellipse.pptxEllipse.pptx
Ellipse.pptx
 
Unit 13.4
Unit 13.4Unit 13.4
Unit 13.4
 
pre-cal first topic.pptx/PRE-CAL/PPTX.123
pre-cal first topic.pptx/PRE-CAL/PPTX.123pre-cal first topic.pptx/PRE-CAL/PPTX.123
pre-cal first topic.pptx/PRE-CAL/PPTX.123
 
Alg2 lesson 8-4
Alg2 lesson 8-4Alg2 lesson 8-4
Alg2 lesson 8-4
 
Group-9-EDITED.pptx
Group-9-EDITED.pptxGroup-9-EDITED.pptx
Group-9-EDITED.pptx
 
Circle - Basic Introduction to circle for class 10th maths.
Circle - Basic Introduction to circle for class 10th maths.Circle - Basic Introduction to circle for class 10th maths.
Circle - Basic Introduction to circle for class 10th maths.
 
Plano numerico
Plano numericoPlano numerico
Plano numerico
 
Plano numerico
Plano numericoPlano numerico
Plano numerico
 
Cónicas propia
Cónicas propiaCónicas propia
Cónicas propia
 
Conic Section
Conic SectionConic Section
Conic Section
 
Hiperbolas y elipses
Hiperbolas y elipsesHiperbolas y elipses
Hiperbolas y elipses
 
Circles
CirclesCircles
Circles
 

Plus de Lydelle Saringan (15)

ASIA LATEST
ASIA LATESTASIA LATEST
ASIA LATEST
 
Asia (final vesion)
Asia (final vesion)Asia (final vesion)
Asia (final vesion)
 
Asia
AsiaAsia
Asia
 
Differentiation
DifferentiationDifferentiation
Differentiation
 
Probabilty.
Probabilty.Probabilty.
Probabilty.
 
Stewardship.
Stewardship.Stewardship.
Stewardship.
 
Common Good.
Common Good.Common Good.
Common Good.
 
Industriya at Pangangalakal.
Industriya at Pangangalakal.Industriya at Pangangalakal.
Industriya at Pangangalakal.
 
Phase changes
Phase changesPhase changes
Phase changes
 
Subject-Verb Agreement
Subject-Verb Agreement Subject-Verb Agreement
Subject-Verb Agreement
 
Thermodynamics
ThermodynamicsThermodynamics
Thermodynamics
 
Hyperbola (Advanced Algebra)
Hyperbola (Advanced Algebra)Hyperbola (Advanced Algebra)
Hyperbola (Advanced Algebra)
 
Thermal Expansion.
Thermal Expansion. Thermal Expansion.
Thermal Expansion.
 
Agrikultura
AgrikulturaAgrikultura
Agrikultura
 
Elements and Types of Essay
Elements and Types of EssayElements and Types of Essay
Elements and Types of Essay
 

Dernier

The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
KarakKing
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
ZurliaSoop
 

Dernier (20)

Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Single or Multiple melodic lines structure
Single or Multiple melodic lines structureSingle or Multiple melodic lines structure
Single or Multiple melodic lines structure
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 

Ellipse (Advanced Algebra)

  • 1. CONIC SECTIONS THE ELLIPSE
  • 2. ELLIPSE - Set of all points such that the sum of the distances from two fixed points, called the foci, is constant.
  • 3. PARTS Center Vertices Foci – the two fixed points Major Axis - longer chord passing through either of the foci and parallel the major axis Minor Axis – shorter chord perpendicular to the major axis passing through the center
  • 4. Latera Recta - Plural form of latus rectum - chords passing through the foci perpendicular to the center Directrix - fixed lines outside the ellipse parallel to the minor axis
  • 5. RELATIONSHIP BETWEEN PARTS Center to Vertex – a Center to Minor Axis – b Center to Focus – c Diagonal Distance of a c2 = a2 - b2 Major Axis – 2a Minor Axis – 2b
  • 6. STANDARD FORM Major Axes C(0,0) C(h,k) Graph Horizontal Major Axis Vertical Major Axis