Check the solution to "A conic section is said to be circle..."

Rivka Thorpe

Answered question

2021-08-14

A conic section is said to be circle if the eccentricity e=1

firmablogF

Skilled2021-08-15Added 92 answers

Explanation of conic section:

Vasquez

Expert2021-12-24Added 669 answers

Step 1

The eccentricity of a conic section is a non-negative real number that uniquely characterizes its shape

Since the eccentricity of an ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ ;

$a \geq b$ is given as

$e = \sqrt{1 - \frac{b^{2}}{a^{2}}}$

A circle is an ellipse when a=b

so eccentricity of circle $e = \sqrt{1 - \frac{a^{2}}{a^{2}}} = \sqrt{1 - 1} = 0$

Answer: False

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