Question

equation of tangent and normal of parabola y^2=16ax, at each ends of latus rectum

Answer 1

help =.='

Answer 2

latus rectum is aline that passes thru the focus; but id have to remember which line it is :)

Answer 3

its parallel to the directix so

Answer 4

f(x,y) = 16ax - y^2

df/dx = 16a
df/dy = -2y

the normal is a vector that matches: <16a,-2y> if i see it right