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### Art Integrated Project on Conic Sections

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**ART INTEGRATED PROJECT **

**ON CONIC SECTIONS**

*Smiley face which integrate all types of conic sections like Circle, Parabola, Ellipse and Hyperbola can be made with the help of mathematical equations and GeoGebra.*

- Different types of conic
sections like Circle, Parabola, Ellipse and Hyperbola.
- Mathematical equations of
different conic sections.
- Art of drawing the conic
sections by using GeoGebra.
- Giving different colors to different shapes.
- Integrating all conic sections with the art.

REQUIREMENTS FOR MAKING THIS PROJECT

MATHEMATICAL EQUATION OF v CIRCLE,

MATHEMATICAL EQUATION OF v PARABOLA.

MATHEMATICAL EQUATION OF v ELLIPSE

MATHEMATICAL EQUATION OF v HYPERBOLA

USE OF GEOGEBRA

Following equations are used at the GeoGebra for making the Art Integrated Project on Conic Sections.

Equation of Circle (Face) x^{2} + y^{2 }≤
16

Equation of Circle (Iris) (x - 2)^{2} + (Y -
1.5)^{2} ≤ 0.05

Equation of Circle (Iris) (x + 2)^{2} + (Y -
1.5)^{2} ≤ 0.05

Equation of Ellipse (Eye Ball)

Equation of Ellipse (Eye Ball)

Equation of Parabola (Lips) y + 2 = 0.5 x^{2} {-1.2 ≤ x
≤ 1.2}

Equation of Straight Line (Lips) y = -1.3 {-1.2 ≤ x ≤ 1.2}

Equation of Parabola (Nose) y + 0.7 = 4.5 x^{2} {- 0.5 ≤
x ≤ 0.5}

Equation of Hyperbola (Ear)

## USE OF GEOGEBRA

When we open GeoGebra app then we see following interface. In the figure given below we see two types of areas. one is graphical area where graphs in the form of shapes can be seen and the second is plan area where inputs can be given.

**Labeling the Smiley**

**Mathematical Equations of Conic sections which can be used directly on the GeoGebra for making the Smiley.**

Equation of Circle: x^(2)+y^(2)≤16

Equation of Circle: (x-2)^(2)+(y-1.5)^(2)≤0.05

Equation of Circle: (x+2)^(2)+(y-1.5)^(2)≤0.05

Equation of Ellipse: (((x-2)^(2))/(0.7^(2)))+(((y-1.9)^(2))/(1.2^(2)))=0.5

Equation of Ellipse: (((x+2)^(2))/(0.7^(2)))+(((y-1.9)^(2))/(1.2^(2)))=0.5

Equation of Parabola: y+2=0.5 x^(2) {-1.2≤x≤1.2}

Equation of Straight Line: y =-1.3 {-1.2≤x≤1.2}

Equation of Parabola: y+0.7=4.5 x^(2) {-0.5≤x≤0.5}

Equation of Hyperbola: ((x^(2))/(3^(2)))-((y^(2))/(2^(2)))=1 {-1.5≤y≤1.5}

**THANKS FOR YOUR VISIT**

**PLEASE COMMENT BELOW**

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