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JEE Advanced 2020 Paper 1

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PART-III : MATHEMATICS

SECTION - 1

Each question has FOUR options. ONLY ONE of these four options is the correct answer.

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Question : 40

Total: 54

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

1
√2
1
2
1
3
2
5

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