Question

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an ellipse has foci at (4 0) and vertices at (5 0) what is the eccentricity of the ellipse


OPTIONS
0
0.8
1.0
1.2

Answer 1

Answer: The correct option is (B) 0.8.

Step-by-step explanation: Given that an ellipse has foci at (4, 0) and vertices at (5, 0).

we are to find the eccentricity of the ellipse.

We know that the eccentricity 'e' of an ellipse with foci at (c, 0) and vertices at (a, 0) is given by

`e=(c)/(a).`

In the given ellipse, we have

foci, (c, 0) = (4, 0) ⇒ c = 4,

vertices, (a, 0) = (5, 0) ⇒ a = 5.

Therefore, the eccentricity of the ellipse is

`e=(c)/(a)=(4)/(5)=0.8.`

Thus, the correct option is (B) 0.8.