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dangina [55]
3 years ago
9

Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer:

Choice D is correct

Step-by-step explanation:

The eccentricity of the conic section is 1, implying we are looking at a parabola. Parabolas are the only conic sections with an eccentricity of 1.

Next, the directrix of this parabola is located at x = 4. This implies that the parabola opens towards the left and thus the denominator of its polar equation contains a positive cosine function.

Finally, the value of k in the numerator is simply the product of the eccentricity and the absolute value of the directrix;

k = 1*4 = 4

This polar equation is given by alternative D

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