Given hyperbola C: Y & # 178; - X & # 178; = 8, straight line L: y = - x + 8, if ellipse m has a common focus with hyperbola C and a common point P with straight line L, Find the minimum value of the major axis of the ellipse and the coordinates of point P at this time

Given hyperbola C: Y & # 178; - X & # 178; = 8, straight line L: y = - x + 8, if ellipse m has a common focus with hyperbola C and a common point P with straight line L, Find the minimum value of the major axis of the ellipse and the coordinates of point P at this time

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