Implicit Differentiation help! (1 Viewer)

[Accuracy]

Tangent at P(3,3/2) on a curve 3y+xy-3x=0 cuts x-axis at T. The ordinate PG meets the X axis at G. Show that:
i) OG^2 = 3OT
ii) area of <a href="http://www.codecogs.com/eqnedit.php?latex=\Delta" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\Delta" title="\Delta" /></a>PGT = 1/2OG^2 where O is the origin

 

[Carrotsticks]

Do you know where to start?

 

[Accuracy]

well i found the equation of the tangent and where it intercepts the x-axis finding T and then i tried finding G by getting the equation of the normal and where it intercepts x-axis but it doesn't match up with the required proof in i)