An ellipse has as semi minor axis

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

An ellipse has

OB

as semi minor axis,

F

and

F'

its foci and the angle

FBF'

is a right angle. Then, the eccentricity of the ellipse is (1)

\frac{1}{\sqrt{2}}

(2)

\frac{1}{2}

(3)

\frac{1}{4}

(4)

\frac{1}{\sqrt{3}}