Introduction to Conic Sections: Parabola, Hyperbola, Ellipse (Each covered in detail in subsequent tutorials)- MCQ Quiz/Worksheet at the end


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(Images, clockwise from top: Ellipse, Parabola, Hyperbola. )

(x/a)^2 + (y/b)^2 = 1 

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

Eccentricity: 
e = Square root of (1 - (b/a)^2) 

Linear Eccentricity:
c = Square root of ( b^2 - a^2 )

Semi Latus Rectum: 
l = b^2 / a

Focal Parameter:
p =  b^2 / Square root of ( b^2 - a^2)


2. Equation of a Parabola

y^2 = 4ax

Eccentricity = 1
Linear Eccentricity (c) = Semi Latus Rectum (l) = Focal Parameter (p) = 2a

3. Equation of a Hyperbola

(x/a)^2  - (y/b)^2 = 1                                                                                                                                     Above: An Ellipse, Below: Parabola :

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

Eccentricity: 
e = Square root of (1 + (b/a)^2) 

Linear Eccentricity:
c = Square root of ( b^2 + a^2 )

Semi Latus Rectum: 
l = b^2 / a

Focal Parameter:
p =  b^2 / Square root of ( b^2 + a^2)

A Hyperbola:




MCQ- The Basics of Conic Sections


MCQ: The Basics of Conic Sections



 


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