If the minor axis of an ellipse subtends an equilateral triangle with vertex  at one end of major axis, then write the eccentricity of the ellipse.

Options

A. `sqrt2`
B. `sqrt(3^2)`
C. `sqrt(frac(2)(3))`
D. `sqrt(4/5)`

Answer

`sqrt(frac(2)(3))`

Explanation

As we see in the question, the minor axis of the ellipse subtends an equilateral triangle with the vertex at one end of the major axis .


`A B=sqrt(a^(2)+b^(2))`


We know that ABC is an equilateral triangle.



`therefore A B=BB’`

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