Q)If the normal at the end of the latus rectum of an ellipse

x^2/a^2 + y^2/b^2=1

passes through one extemity of minor axis ,then the eccentricity of ellipse is given by ?

a)e^4+e^2+1=0

b)e^4+e^3+e^2+e +1=a

c)e^4+e^2-1=0

d)none of the above

Thanks in advance guys .