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Let the tangent and normal at the point `(3sqrt31)` on the ellipse `(x^2)/(36)+(y^2)/4=1` meet the y-axis at the points A and B respectively .Let the circle C be drawn taking AB as a diameter and the line `x=2sqrt5` intersect C at the points P and Q . If the tangents at the points P and Q on the circle intersect at the point `(alpha,beta)`, then `alpha^2-beta^2` is equation

A

`60`

B

`(314)/(5)`

C

`61`

D

`(304)/5`

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