Determine the eccentricity, the type of conic, and the directrix for
r=6/1+2cos theta
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Answer:
Choice C is correct
Step-by-step explanation:
The polar equation of the conic section is in standard form. The eccentricity is simply the coefficient of cos theta; thus e = 2
The eccentricity being more than 1 implies the conic section is a hyperbola.
To determine the directrix, divide 6 by 2 to obtain 3. The conic section opens to the left thus;
directrix; x = 3