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Let PQ be a focal chord of the parabola ...

Let PQ be a focal chord of the parabola `y^2 = 4x` such that it subtends an angle of `pi/2` at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse `E: (x^2)/a^2 + y^2/b^2 = 1, a^2 gtb^2` If e is the eccentricity of the ellipse E, then the value of `1/e^2` is a equal to :

A

`1+sqrt2`

B

`3+2sqrt2`

C

`1+2sqrt3`

D

`4+5sqrt3`

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