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Let a, b and λ be positive real numbers. Suppose P is an end point of the latus rectum of the parabola y 2 = 4 λ x, and suppose the ellipse 2 2 2 2 x y a b + = 1 pass through the point P. If the tangents to the parabola and the ellipse at the point P are perpendicular to each other, then the eccentricity of the ellipse is-

1. 1 2
2. 1 2
3. 1 3
4. 2 5

Correct answer: 1 2

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