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Which of the following is/are true about the ellipse `x^2+4y^2-2x-16 y+13=0?` `(a)`the latus rectum of the ellipse is 1. `(b)`The distance between the foci of the ellipse is `4sqrt(3)dot` `(c)`The sum of the focal distances of a point `P(x , y)` on the ellipse is 4. `(d)`Line `y=3` meets the tangents drawn at the vertices of the ellipse at points `P` and `Q` . Then `P Q` subtends a right angle at any of its foci.

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