3dd comprehension

A bird flies on ellipse ax²+by²=1 and z=5√3and b>a>0 whose essentricity is 1/√2.An observer stands at a point P(α,β,0) where maximum and minimum angl of elevation of the birds are 60^.and
30^. when bird is at Q and R respecttively on its path and Q^' and R^' are projection of Q and R on x-y plane,P,Q^',R^' are collinear and the distance between Q^' and R^' is maximum.Let θ be the angle of elevation of the bird when it is at a point on the arc of the ellipse exactly midway between Qand R.It is the given that point P lies outside the ellipse.

1)if α>0 then equation of the line along which minimum angle of elevation is observed, is

2)Equation of plane which touches the ellipse at Q and passes through p(α>0) is

3)Value of tanθ is