Let a, b and \\lambda be positive real numbers. Suppose P is an end point of the latus rectum of the parabola{y}^{2}=4 \\lambda{x}, and suppose the ellipse {{x}^{2}}/{ {a}^{2}}+{{y}^{2}}/{ {b}^{2}}=1 passes through the point {P}. If the tangents to theparabola and the ellipse at the point P are perpendicular to each other, then the eccentricity of the ellipse is [JEE Adv 2020 P1]

Parabola

Section: Mathematics

Question : 9 of 31

Marks: +1, -0

Let a,b and λ be positive real numbers. Suppose P is an end point of the latus rectum of the parabolay2=4λx, and suppose the ellipse

=1 passes through the point P. If the tangents to theparabola and the ellipse at the point P are perpendicular to each other, then the eccentricity of the ellipse is

[JEE Adv 2020 P1]

1
√2
1
2
1
3
2
5

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