\documentclass[addpoints, 12pt, a4paper]{exam}%answers,
\usepackage[left=1.5cm,right=0.5cm,top=0cm,bottom=1cm]{geometry}   % Set page margins
\usepackage[french]{babel}
\usepackage{fontspec}
\usepackage{calligra} % For calligraphy font
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb}
\usepackage{tikz} % For drawing the vertical line
\usetikzlibrary{shapes,decorations.text}
\usepackage{xcolor}
\usepackage{setspace}
\usepackage[ddmmyyyy]{datetime}

\pointname{}
\pointformat{\textbf{\textit{(\thepoints)}}}

% Exam settings
\pointsinmargin
%\colorfillwithlines
%\definecolor{FillWithLinesColor}{gray}{0.8}
\colorfillwithdottedlines
\definecolor{FillWithDottedLinesColor}{gray}{0.7}
\unframedsolutions
\renewcommand{\solutiontitle}{\noindent\textbf{}\enspace}
\SolutionEmphasis{\itshape\small}
\SolutionEmphasis{\color{red}}


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% Draw the inner circle
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% Draw the curved line
\draw[red!50, decorate, decoration={text along path,
    text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|★MOSAID RADOUAN★},
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\node[red!75,font=\fontsize{48}{48}\fontspec{DejaVu Sans}\bfseries\selectfont] at (A) {✷};
\end{tikzpicture}
}


% Redefine the points display format in margin
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    \draw[gray, thick] (0.5,-1.2) -- (\textwidth,-1.2);
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    \node[magenta] at (1.6,-0.6) {\textbf{www.mosaid.xyz}};
    \node[xshift=-2cm] at (\textwidth,-0.25) {\textbf{\today}};
    \node[xshift=-2cm] (A) at (\textwidth,-0.9)  {\textbf{Prof : MOSAID}};
    \node[xshift=-0.5cm] at (0.5\textwidth,-0.5) {\textbf{Contrôl n$^\circ$2/2h} \ccc{B} };
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    \node[magenta] at (0.9\textwidth,-1.4) {\textbf{www.mosaid.xyz}};
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% Redefine \exo command to avoid spacing issues
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%\footer{}{Page \thepage\ of \numpages}{}

\everymath{\displaystyle}
\setstretch{1.2}
\newenvironment{mycontent}{%
\noindent
\borders\\[1.5cm]
\noindent\hspace*{0.2cm}
\exo{Exercice 1: Droite dans le plan \hspace{2mm} (8 pts)}\\
\hspace*{0.2cm}Le plan est rapporté à un repère orthonormé \((O,\vec i, \vec  j)\). Soient les points
\(A(2,2)\), \(B(-2,2)\) et \(C(2,3)\)
\begin{questions}
\question
\begin{parts}
\part[2]
Déterminer la nature du triangle ~$ABC$~
\part[1]
Déterminer les coordonnées du point ~$D$~ tel que ~$\overrightarrow{AD}=2\overrightarrow{BC}$~
\end{parts}
\question[2]
Determiner une équation cartésienne de la droite ~$(AB)$~
\question[2]
Determiner une équation cartésienne de la droite ~$(\Delta)$~ parallèle à ~$(AB)$~ passant par ~$C$~
\question[1]
Donner une représentation paramétrique de la droite ~$(BC)$~
\end{questions}
\noindent\hspace*{0.2cm}
\exo{Exercice 2: Calcul et ordre dans ~$\mathbb{R}$ ~(12 pts)}\\
\stamp{16}{0}
\hspace*{0.2cm}\textbf{\underline{Remarque:} Les questions sont indépendantes}
\begin{questions}
\question[3]
Soient \( x\in[-2,3[ \) et \(y\in]2,6]\), \hspace*{0.5cm}encadrer ~$A=\frac{2x+6y+3}{x+5y}$~
\question[3]
Résoudre les équations \(|-3x+7|=-2\) ~et~ \(|x+5|=|3-2x|\)
\question
Soient les ensmbles : \(A=\{x\in\mathbb{R}/|x+3|<1\}\) et \(B=\{x\in\mathbb{R}/|3-x|>1\}\)
\begin{parts}
\part[2]
Determiner les ensmbles ~$A$~ et ~$B$~
\part[2]
Déterminer ~$A\cap B$ et $ A\cup B$~
\end{parts}
\question[2]
Factoriser : \(A=3\sqrt3x^3-8-4x(3x^2-4)\) et \(B=5x^2-(5x-3)^2+\sqrt5x+5x-3\)
\end{questions}
\textcolor{white}{.}\hfill
{\scalebox{2}{\textbf{\textcolor{blue}{\calligra Good Luck!}}}}~~~~~
}% end newenvironment

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