a.
To Write: The polar equations which represent a conic with eccentricity ‘e’.
a.
Answer to Problem 8RCC
Let d be positive number four conics of eccentricity e with focus at polar equation.
Directrix:
Directrix:
Explanation of Solution
Given information:
All the conics are in polar form.
Calculation:
Conics are formed by three things
Here
F = fixed point
According to conics now:
L
F
Consider F is located of the pole and equation of directrix ‘l’ is
P has Cartesian coordinates
P has polar coordinates
Now:-
A collections of points P in the plane such that
Here e = eccentricity of the conic
F = Focus of the conic
L = directrix of the conic
Now:-
If
Then
If
Then
b.
To Find: The type of conic based on eccentricity
b.
Answer to Problem 8RCC
Explanation of Solution
Given information:
Considering the equations are in polar form.
Calculation:
A collection of points ‘P’ in the plane such that
If
If
If
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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