Hello
With the following in your .emacs file
#+BEGIN_SRC
(setq org-babel-latex-htlatex "htlatex")
(defmacro by-backend (&rest body)
`(case org-export-current-backend ,@body))
#+END_SRC
I can put back #+BEGIN_SRC around the tikz and it seems to work.
#+header: :file (by-backend (html "images/graphic2.png") (t 'nil))
#+header: :imagemagick
#+header: :results (by-backend (pdf "latex") (t "raw"))
#+BEGIN_SRC latex
\begin{figure}[ht]
\centering
\begin{tikzpicture}[xscale=0.5]
% draw the sets
\filldraw[fill=none, draw] (-1.5,0) circle (1cm);
\filldraw[fill=none, draw] (1.5,0) circle (1cm);
% the texts
\node at (-1.5,1.5) {$E$};
\node at (1.5,1.5) {$F$};
% the points in the sets (here I just create nodes to use them later on to
position
% the circles and the arrows
\node (a) at (-1.5,0.7) {$a$};
\node (b) at (-1.5,0.1) {$b$};
\node (c) at (-1.5,-0.4) {$c$};
\node (1) at (1.5,0.7) {$1$};
\node (2) at (1.5,0.1) {$2$};
\node (3) at (1.5,-0.4) {$3$};
% draw the arrows
\draw[->] (a) -- (2);
\draw[->] (c) -- (2);
\draw[->] (b) -- (1);
\end{tikzpicture}
\end{figure}
#+END_SRC
Best regards,
Jeremie