parametrics and focal chord (1 Viewer)

[sssona09]

pls help rip
P(2at,at^2) is a point on the parabola x^2=4ay. S is the focus, T is the foot of the perpendicular frpm P to the directrix, and A is the point where the tangent at P meets the y aixs.
(i) write down the coordinates of T
(ii) show that A is the point (0, -at^2)
(iii) what is point S

 

[pikachu975]

pls help rip
P(2at,at^2) is a point on the parabola x^2=4ay. S is the focus, T is the foot of the perpendicular frpm P to the directrix, and A is the point where the tangent at P meets the y aixs.
(i) write down the coordinates of T
(ii) show that A is the point (0, -at^2)
(iii) what is point S

I'll just give hints

i) Use formula sheet for the normal equation as it says perpendicular at P and sub y = -a as that is the directrix equation

ii) Use tangent equation on formula sheet and sub x = 0

iii) (0, a) as it is the focus

 

[sssona09]

I'll just give hints

i) Use formula sheet for the normal equation as it says perpendicular at P and sub y = -a as that is the directrix equation

ii) Use tangent equation on formula sheet and sub x = 0

iii) (0, a) as it is the focus

ohh thank youuuu pikachu