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One of the diameters of the circle circu...

One of the diameters of the circle circumscribing the rectangle ABCD is `4y=x+7`. If `A and B` are the points `(-3, 4) and (5, 4)` and slope of the curve `y = (ax)/(b-x)` at point `(1, 1)` be `2`, then centre of circle is : (A) `(a, b)` (B) `(b, a)` (C) `(-a, -b`) (D) `(a, -b)`

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