Find the eccentricity of the conic.

Question

Quizplus · Accepted Answer

Without knowing the specific conic, we know that the eccentricity falls between 0 and 1 for an ellipse, exactly 1 for a parabola, and greater than 1 for a hyperbola. The options for the eccentricities in the answer choices are all in hexadecimal notation, with each digit representing a multiple of a negative power of 16. The letter choices in the hexadecimal notation for eccentricity represent values greater than 9, so we can rule out options A and B, which have a hexadecimal value of 9fc7 and 3761, respectively. Option E has a hexadecimal value of 14fb, which is greater than 1 and suggests a hyperbola. Therefore, the best choice is option C, which has a hexadecimal value of c6d9, between 0 and 1 and suggestive of an ellipse.

Find the Eccentricity of the Conic