If line y=x+2 does not intersect any member of family of parabolas y2=ax,a∈R+at two distinct points,
then the maximum length of latus rectum of parabola is
Given family of parabola is y2=ax
Given line is y=x+2
solving
(x+2)2−ax=0⇒ x2+x(4−a)+4=0 According to question D≤0⇒ a≤8