Show that length of perpendecular from focus 'S' of the parabola `y^(2)= 4ax` on the Tangent at P is `sqrt(OS.SP)`

The focus of the parabola y^(2)-4y-8x-4=0 is

The subnormal of the parabola y^(2)=4ax is equal to

Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length of the perpendicular from the focus of the parabola onto this normal then 4k-2 p^(2) =

The locus of foot of perpendicular from the focus upon any tangent to the parabola y^(2) = 4ax is

Show that the shortest length of the normal chord to the parabola y^(2) = 4ax is 6sqrt(3a)

Focus of parabola y = ax^(2) + bx + c is