\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{}
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% Exam settings
\pointsinmargin
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\unframedsolutions
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\SolutionEmphasis{\color{red}}


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% Draw the inner circle
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% Draw the curved line
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	text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|★MOSAID RADOUAN★},
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	text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|∞★~mosaid.xyz~★∞ },
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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 \((O,\vec i, \vec  j)\).\\
\hspace*{0.2cm}Soient le point ~$A(-2,1)$,~ les vecteurs ~$\vec u(2,4)$~ et ~$\vec v(x,-3)$,~
et la droite ~$(\Delta):~ 2x-y+3=0$~
\begin{questions}
\question[1]
Déterminer ~$x$~ tel que les vecteurs ~$\vec u$~ et ~$\vec v$~ sont colinéaires
\question[2]
Déterminer un vecteur ~$\vec w$~ directeur de la droite ~$(\Delta)$~ et un point ~$B\in(\Delta)$~
\question
\begin{parts}
\part[1]
Donner une représentation paramétrique de la droite ~$D(A,\vec u)$~
\part[1]
Donner une équation cartésienne de la droite ~$D(A,\vec u)$~
\part[1]
Vérifier que les droites ~$(D)$~ et ~$(\Delta)$~ ne sont pas parallèles
\part[2]
Déterminer leur point d'intersection
\end{parts}
\end{questions}
\noindent\hspace*{0.2cm}
\exo{Exercice 2: Calcul et ordre dans ~$\mathbb{R}$ ~(12 pts)}\\
\luck{15.5,2.5}
\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 ~$A=y(x^2+1)+\frac{x+5}{x+5y}$~
\question[3]
Résoudre les équations \(|-3x+7|=-2\) ~et~ \(|x+5|=|3-2x|\)
\question
\begin{parts}
\part[2]
Résoudre les inéquations : \(|x+3|<1\) et \(|3-x|\ge1\)
\part[1]
Déterminer les solutions en commun des deux inéquations
\end{parts}
\question[3]
Factoriser : \(A=3\sqrt3x^3+8-4x(3x^2+4)\) \hspace*{1cm}et\hspace*{1cm} développer \((\sqrt3x-2)^3(x-1)\)\\
\end{questions}
}% end newenvironment

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