equations of straight lines

[2^(1/2) +1 + k2^(1/2)]x - (1+2k)y +2k=0(where k is any constant) is a familt of st. lines passing through a fixed point P

a.Find the coordinates of P

b.There are two lines in the family each has a distance 2^(1/2)units from the
origin. Find the equations of these two lines

c.Find the angle between the two lines in (b)

d.A vertical line cuts the two lines in(b) at points A and B. If the area of
trianglePAB is 2sq units, find the two possible equation of the vertical line. Express your answer in surd form