on the graph of y=2e^x are drawn the tangent and normal to the curve at the pt.G(p,q)

on the graph of y=2e^x are drawn the tangent and normal to the curve at the pt.G(p,q)

a) Find the gradient of the tangent at G in terms of q.

b) Find the equation of the tangetn and normal to the curve at point G

I think i have the right answers for these, but when i go to part c is doesn't seem to work/gets messy.

the answers i have are

a) q=2e^p

b) tangent= 2xe^p-2pe^p + q

and normal= -x/2e^p + p/2e^p+ q

Uploaded is a picture of the graph with the tangent and normal.

I also have to find out the co-ordinates of the points A, B, C, D,E and F in terms of p and q. I have worked out B and E but i have no idea how to even begin wiht the others.

I dont necessarily want the answer, just a way in which to do it.

Cheers.