   Chapter 10.6, Problem 3E

Chapter
Section
Textbook Problem

Write a polar equation of a conic with the focus at the origin and the given data.3. Hyperbola, eccentricity 1.5, directrix y = 2

To determine

To Find: The polar equation of a conic with the focus and origin.

Explanation

Given:

1. (i) Hyperbola
2. (ii) Eccentricity 1.5
3. (iii) Directrix, y=2

Calculation:

The graph has shown the polar equation for the directrix and eccentricity in the figure (1).

The above graph shows the x and y coordinates. The figure shows the Hyperbola curve acting in vertical axis whose directrix is positive.

The polar equation of a conic refers for the given Directrix is

r=ed1+esinθ (1)

Substitute 1.5 for e and 2 for d in the equation (1)

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