If the line L passes through the left focus F of hyperbola (x ^ 2) / 3-y ^ 2 = 1 (1) If there is a common point between the line L and the right branch of the hyperbola, point out the range of the inclination angle a of the line L (2) If the line L and hyperbola intersect at two points a and B, P is the midpoint of AB, O is the origin of coordinates, when the slope of OP is equal to 1 / 4, the equation of line L is obtained

(x^2)/3-y^2=1
a=√3 b=1
Asymptote y = ± (√ 3 / 3) x, inclination angle is 30 degrees or 150 degrees
(1) If the line L and the right branch of the hyperbola have a common point
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