Question

: Which of the following expressions represent the eccentricity of an ellipse?

A: None of the above are correct.
B: c/a
C: b/a
D: a/c

Answer 1

Answer on Question #57279 – Math – Analytic Geometry

Question

Which of the following expressions represent the eccentricity of an ellipse?

A. $\frac{c}{a'}$

B. $\frac{b}{a'}$

C. $\frac{a}{c'}$

D. None of the above are correct.

Solution

The eccentricity of an ellipse is expressed by the formula

$$e = \frac{c}{a'}$$

where $c$ is the distance from the centre of the ellipse to a focus and $a$ is the length of the semimajor axis.

Answer: A. $\frac{c}{a'}$

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