Mathematics Extension 1 2001 HSC Locus and parabola Question (1 Viewer)

[boredofstudyinn]

Hey can some one please help me out with this Question

i dont understand

all 4 parts lol

 

[kaz1]

i. y=x²/4a
dy/dx=x/2a sub x=2at
.'. gradient of tangent is and gradient of normal is -1/t
x+ty=k sub in point (2at,at²)
and you get k=at³ +2at
x+ty=at³ +2at

I'll do the rest later if no one else does them.

 

[jet]