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

(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)

y^2 = 4ax

Eccentricity = 1

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

(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

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