Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4
1 answer:
Answer:
Choice B is correct
Step-by-step explanation:
The eccentricity of the conic section is given as 4 and thus the conic section is a hyperbola. Hyperbolas are the only conic sections with an eccentricity greater than 1.
Next, the directrix of this hyperbola is located at y = -6 implying that the hyperbola will be opening upwards. Consequently, the polar equation of this hyperbola will be of the form;
The value of k in the numerator is the product of eccentricity and the absolute value of the directrix;
k= 4*6 = 24
The polar equation is thus given by alternative B
You might be interested in
<h2>A. $123.51</h2><h2 />
: $24.48 per year + price * 0.85
: $36.83 per year + price * 0.75
Substitute each value into both equations as price.
A:
129.4635
129.4625
B:
98.158
101.84
C:
145.2055
143.3625
D:
155.703
152.615
A is the lowest value where the second value is lower than the first.