If the angle between the lines joining the end points of minor axis of the ellipse x^2 a^2 + y^2 b^2 =1 with one of its foci is 2 , then what is the eccentricity of the ellipse?

NDA 2019 Mathematics question

If the angle between the lines joining the end points of minor axis of the ellipse with one of its foci is , then what is the eccentricity of the ellipse?

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

The ends of the minor axis are and a focus is . The joining lines have slopes and ; they

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Question ID VK-029106