Question

Which of the following is the eccentricity for ellipse?
A.
0 1
O 3/2
C.
0 2/3
D. 05/2​

Answer 1

Answer:

correct answer is 2/3

Step-by-step explanation:

2/3=0.66666666666

3/2=1.5

5/2=2.5

1

explanation:

The eccentricity of an ellipse which is not a circle is greater than zero but less than

                                                                  by A.Syed Ibrahim B.Tech (CSE)(Cyber Security)

Answer 2

The eccentricity for the ellipse is 2/3. (Option C)

• The eccentricity of an ellipse can be defined as the ratio of the distance of the center of the ellipse from its focus and the distance of one of the directrices of the ellipse from the center of the ellipse.

• The formula for the eccentricity of an ellipse is e= $\sqrt{1-\frac{b^{2} }{a^{2} } }$.

• The value of the eccentricity of an ellipse is in the range 0<e<1.

• In option A, the value of eccentricity is given as 1. This is incorrect as the value of eccentricity is always less than 1.
• In option B, the value of eccentricity given is 3/2⇒ 1.5, which is outside the possible range of the ellipse. Hence, option B is incorrect.
• In option C, the value of eccentricity given is 2/3 ⇒ 0.66, this value lies in the range of eccentricity of ellipse i.e. 0<e<1. Hence, option C is correct.
• In option D, the value of eccentricity is 5/2 ⇒ 2.5. It's incorrect as it does not lie in the range of eccentricity of an ellipse.