[alexlct054]

I manage to do the part(i)-part(iii) but I reli dun know how to do the question(iv).

part(iv) The point Q is the intersection of the line x=1/2 and the straight line joining the origin to the point T. Point R has co-ordinates(1/2,0).
Show that RQ=QP.

as I couldn't find the point T, so I couldn't find the y co-ordinates of Q. Can anyone help me pls? Thanks a lot!!

[Aurum]

T is not a fixed point, it is a general point on the curve with co-ordinates, (1/1+t),(1/(1+t)(1-t)). t can take any value, the final result RQ=QP holds for any value of t except -1.1, like t=-3,-2,0,2,3 etc.

Now you know what T is and since you've done part (iii), I trust you can now find the y-coordinate of Q. Then you can prove RQ=QP.