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            <h1>Class XII Mathematics</h1>
            <p>Generate Customized Sample Papers</p>
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                <h2 class="section-title">Mathematics Paper Generator</h2>
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                            <label for="chapter1">1. Relations and Functions</label>
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                            <label for="chapter2">2. Inverse Trigonometric Functions</label>
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                            <label for="chapter3">3. Matrices</label>
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                            <label for="chapter4">4. Determinants</label>
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                            <label for="chapter5">5. Continuity and Differentiability</label>
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                            <label for="chapter6">6. Application of Derivatives</label>
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                            <label for="chapter7">7. Integrals</label>
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                            <label for="chapter8">8. Applications of Integrals</label>
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                            <label for="chapter9">9. Differential Equations</label>
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                            <label for="chapter10">10. Vector Algebra</label>
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                            <label for="chapter11">11. Three Dimensional Geometry</label>
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                            <label for="chapter12">12. Linear Programming</label>
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                            <label for="chapter13">13. Probability</label>
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        let schoolName = '';
        let questionCounter = 1;
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        const questions = {
            mathematics: {
                "Chapter 1": {
                    mcq: [ 
                        { question: "Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is:", options: ["Reflexive and symmetric", "Transitive and symmetric", "Equivalence", "Reflexive, transitive but not symmetric"], answer: "Reflexive, transitive but not symmetric" },
                        { question: "The number of bijective functions from set A to itself when A contains 106 elements is:", options: ["106", "106²", "106!", "2¹⁰⁶"], answer: "106!" },
                        { question: "Let f : R → R be defined by f(x) = 3x - 4. Then f⁻¹(x) is:", options: ["(x+4)/3", "x/3 + 4", "3x + 4", "None of these"], answer: "(x+4)/3" },
                        { question: "Let f : N → N be defined by f(n) = the highest prime factor of n. Then f is:", options: ["Injective", "Surjective", "Bijective", "Neither injective nor surjective"], answer: "Neither injective nor surjective" },
                        { question: "The relation R in the set Z of integers given by R = {(a,b): 2 divides a-b} is:", options: ["Reflexive only", "Symmetric only", "Transitive only", "Equivalence relation"], answer: "Equivalence relation" }
                    ],
                    assertion: [ 
                        { statement1: "Every relation which is symmetric and transitive is also reflexive.", statement2: "An empty relation is symmetric and transitive.", options: ["Both true", "Both false", "Only statement 1 is true", "Only statement 2 is true"], answer: "Only statement 2 is true" },
                        { statement1: "The composition of two bijections is a bijection.", statement2: "The inverse of a bijection is a bijection.", options: ["Both true", "Both false", "Only statement 1 is true", "Only statement 2 is true"], answer: "Both true" }
                    ],
                    twoMark: [ 
                        "Check whether the relation R in R defined as R = {(a, b): a ≤ b³} is reflexive, symmetric or transitive.",
                        "Show that the function f: R → R given by f(x) = x³ + x is a bijection.",
                        "Let A = R - {3} and B = R - {1}. Consider the function f: A → B defined by f(x) = (x-2)/(x-3). Show that f is bijective.",
                        "Let f: N → N be defined by f(n) = n + 1 if n is odd and f(n) = n - 1 if n is even. Show that f is bijective."
                    ],
                    threeMark: [ 
                        "Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a, b): |a - b| is even} is an equivalence relation.",
                        "Let f: R → R be defined as f(x) = 10x + 7. Find the function g: R → R such that g o f = f o g = I_R.",
                        "Given a non-empty set X, consider the binary operation *: P(X) × P(X) → P(X) given by A * B = A ∩ B for all A, B ∈ P(X). Show that X is the identity element for this operation."
                    ],
                    fiveMark: [ 
                        "Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Show that * is commutative and associative. Find the identity element for * on A, if any.",
                        "Consider f: R+ → [-5, ∞) given by f(x) = 9x² + 6x - 5. Show that f is invertible and find f⁻¹.",
                        "Let A = R - {3} and B = R - {1}. Consider the function f: A → B defined by f(x) = (x-2)/(x-3). Show that f is bijective and find f⁻¹."
                    ],
                    caseStudy: [ 
                        { case: "A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever. Let I be the set of all citizens of India who were eligible to exercise their voting right in the general election held in 2019. A relation R is defined on I as follows: R = {(V1, V2): V1, V2 ∈ I and both use their voting right in the general election-2019}.", questions: ["Determine whether R is reflexive, symmetric or transitive.", "Three friends F1, F2 and F3 exercised their voting right in general election-2019, then examine whether (F1, F2) ∈ R and (F2, F3) ∈ R implies (F1, F3) ∈ R.", "The above defined relation R is an equivalence relation?"] }
                    ]
                },
                "Chapter 2": {
                    mcq: [ 
                        { question: "The principal value of sin⁻¹(-1/2) is:", options: ["π/6", "π/3", "-π/6", "-π/3"], answer: "-π/6" },
                        { question: "The value of tan⁻¹√3 - sec⁻¹(-2) is:", options: ["π", "-π/3", "π/3", "2π/3"], answer: "-π/3" },
                        { question: "The principal value of cos⁻¹(cos(7π/6)) is:", options: ["7π/6", "5π/6", "π/3", "π/6"], answer: "5π/6" },
                        { question: "The value of sin(2tan⁻¹(0.75)) is:", options: ["0.75", "1.5", "0.96", "1.25"], answer: "0.96" },
                        { question: "If tan⁻¹x + tan⁻¹y = 4π/5, then cot⁻¹x + cot⁻¹y equals:", options: ["π/5", "2π/5", "3π/5", "π"], answer: "π/5" }
                    ],
                    assertion: [ 
                        { statement1: "The domain of the function defined by f(x) = sin⁻¹√(x-1) is [1,2].", statement2: "The range of the principal value branch of cosec⁻¹ is [-π/2,π/2] - {0}.", options: ["Both true", "Both false", "Only statement 1 is true", "Only statement 2 is true"], answer: "Only statement 1 is true" },
                        { statement1: "tan⁻¹(1/2) + tan⁻¹(1/3) = π/4.", statement2: "2tan⁻¹(1/3) = tan⁻¹(3/4).", options: ["Both true", "Both false", "Only statement 1 is true", "Only statement 2 is true"], answer: "Both true" }
                    ],
                    twoMark: [ 
                        "Find the principal value of cosec⁻¹(-√2).",
                        "Prove that: 3sin⁻¹x = sin⁻¹(3x - 4x³), x ∈ [-1/2, 1/2].",
                        "Write the value of tan⁻¹[2sin(2cos⁻¹√3/2)].",
                        "Find the value of tan⁻¹√3 - cot⁻¹(-√3)."
                    ],
                    threeMark: [ 
                        "Prove that: tan⁻¹(1/2) + tan⁻¹(1/3) = π/4.",
                        "Solve for x: tan⁻¹(x-1) + tan⁻¹x + tan⁻¹(x+1) = tan⁻¹3x.",
                        "Prove that: 2tan⁻¹(1/2) + tan⁻¹(1/7) = tan⁻¹(31/17)."
                    ],
                    fiveMark: [ 
                        "Prove that: tan⁻¹(1/5) + tan⁻¹(1/7) + tan⁻¹(1/3) + tan⁻¹(1/8) = π/4.",
                        "Solve the equation: cos⁻¹x - sin⁻¹x = cos⁻¹(x√3).",
                        "Find the value of x if sin⁻¹x + sin⁻¹(1-x) = cos⁻¹x."
                    ],
                    caseStudy: [ 
                        { case: "Two schools A and B want to award their selected students on the values of Honesty, Hard work and Discipline. School A wants to award ₹x each, ₹y each and ₹z each for the three respective values to 3, 2 and 1 students respectively with total award money of ₹2200. School B wants to spend ₹3100 to award its 4, 1 and 3 students on the respective values. The total amount of award for one prize on each value is ₹1200.", questions: ["Represent the above situation by a matrix equation.", "Find the award money for each value using matrix method.", "Which value you prefer to be rewarded most and why?"] }
                    ]
                },
                // ... (other chapters follow similar pattern with updated content)
                "Chapter 13": {
                    mcq: [ 
                        { question: "If P(A) = 0.4, P(B) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) equals:", options: ["0.24", "0.72", "0.48", "0.96"], answer: "0.72" },
                        { question: "If A and B are two events such that P(A) ≠ 0 and P(B|A) = 1, then:", options: ["A ⊂ B", "B ⊂ A", "B = φ", "A = φ"], answer: "A ⊂ B" },
                        { question: "If P(A|B) > P(A), then which of the following is correct:", options: ["P(B|A) < P(B)", "P(A ∩ B) < P(A).P(B)", "P(B|A) > P(B)", "P(B|A) = P(B)"], answer: "P(B|A) > P(B)" },
                        { question: "If two events are independent, then:", options: ["They must be mutually exclusive", "The sum of their probabilities must be 1", "Both (a) and (b)", "None of these"], answer: "None of these" },
                        { question: "The probability of solving a problem by three students A, B, C are 1/2, 1/3, 1/4 respectively. The probability that the problem will be solved is:", options: ["1/4", "1/2", "3/4", "1/3"], answer: "3/4" }
                    ],
                    assertion: [ 
                        { statement1: "If A and B are independent events, then A' and B' are also independent.", statement2: "If A and B are mutually exclusive, then they are independent.", options: ["Both true", "Both false", "Only statement 1 is true", "Only statement 2 is true"], answer: "Only statement 1 is true" },
                        { statement1: "The probability of an event cannot be negative.", statement2: "The probability of a sure event is 1.", options: ["Both true", "Both false", "Only statement 1 is true", "Only statement 2 is true"], answer: "Both true" }
                    ],
                    twoMark: [ 
                        "A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?",
                        "Given that the events A and B are such that P(A) = 1/2, P(A ∪ B) = 3/5 and P(B) = p. Find p if they are independent.",
                        "If P(A) = 0.8, P(B) = 0.5 and P(B|A) = 0.4, find P(A ∩ B).",
                        "A coin is tossed 3 times. Find the probability of getting at least 2 heads."
                    ],
                    threeMark: [ 
                        "A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.",
                        "In answering a question on a multiple choice test, a student either knows the answer or guesses. Let 3/4 be the probability that he knows the answer and 1/4 be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability 1/4. What is the probability that the student knows the answer given that he answered it correctly?",
                        "A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond."
                    ],
                    fiveMark: [ 
                        "An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accident are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?",
                        "A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?",
                        "There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin?"
                    ],
                    caseStudy: [ 
                        { case: "In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Let X denote the amount he wins/loses.", questions: ["Find the probability distribution of X.", "Find the expected value of X.", "Would you advise the man to play the game? Justify your answer."] }
                    ]
                }
            }
        };

        function getRandomQuestions(selectedChapters, type, count) {
            let allQuestions = [];

            if (selectedChapters.includes("Full Paper")) {
                for (let chapter in questions.mathematics) {
                    if (questions.mathematics[chapter][type]) {
                        allQuestions = allQuestions.concat(questions.mathematics[chapter][type]);
                    }
                }
            } else {
                selectedChapters.forEach(chapter => {
                    if (questions.mathematics[chapter] && questions.mathematics[chapter][type]) {
                        allQuestions = allQuestions.concat(questions.mathematics[chapter][type]);
                    }
                });
            }

            allQuestions = allQuestions.sort(() => Math.random() - 0.5);
            return allQuestions.slice(0, count);
        }

        function showChapterSelection() {
            document.getElementById('startScreen').classList.add('hidden');
            document.getElementById('chapterSelection').classList.remove('hidden');
        }

        function toggleChapters() {
            const fullPaperCheckbox = document.getElementById('fullPaper');
            const checkboxes = document.querySelectorAll('input[name="chapter"]:not(#fullPaper)');
            checkboxes.forEach(cb => cb.disabled = fullPaperCheckbox.checked);
        }

        function backToStart() {
            document.getElementById('generatedPaperContainer').classList.add('hidden');
            document.getElementById('startContainer').classList.remove('hidden');
            document.getElementById('chapterSelection').classList.add('hidden');
            document.getElementById('startScreen').classList.remove('hidden');
            questionCounter = 1;
        }

        function promptSchoolName() {
            schoolName = prompt("Write your school/institute name").toUpperCase();
            if (!schoolName) {
                alert("School/Institute name is required!");
            } else {
                promptSession();
            }
        }

        function promptSession() {
            sessionYear = prompt("Enter the academic session (e.g., 2023-24)").toUpperCase();
            if (!sessionYear) {
                alert("Academic session is required!");
            } else {
                generatePaper();
            }
        }

        function generatePaper() {
            document.getElementById('startContainer').classList.add('hidden');
            const generatedPaperContainer = document.getElementById('generatedPaperContainer');
            generatedPaperContainer.classList.remove('hidden');
            generatedPaperContainer.innerHTML = '';
            
            let paperContent = `
                <div class="header">
                    <h2>${schoolName}</h2>
                </div>
                <div class="content-area">
                    <div class="paper-header">
                        <h3>MATHEMATICS-041</h3>
                        <h3>CLASS - XII</h3>
                        <h3>Session: ${sessionYear}</h3>
                    </div>
                    <div class="paper-meta">
                        <div>Max. Marks: 80</div>
                        <div>Time Allowed: 3 hours</div>
                    </div>
                    <div class="instructions">
                        <p><strong>General Instructions:</strong></p>
                        <p>Read the following instructions carefully and follow them:</p>
                        <ol>
                            <li>This Question paper contains 38 questions. All questions are compulsory.</li>
                            <li>This Question paper is divided into five Sections - A, B, C, D and E.</li>
                            <li>In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and Questions no. 19 and 20 are Assertion-Reason based questions of 1 mark each.</li>
                            <li>In Section B, Questions no. 21 to 25 are Very Short Answer (VSA)-type questions, carrying 2 marks each.</li>
                            <li>In Section C, Questions no. 26 to 31 are Short Answer (SA)-type questions, carrying 3 marks each.</li>
                            <li>In Section D, Questions no. 32 to 35 are Long Answer (LA)-type questions, carrying 5 marks each.</li>
                            <li>In Section E, Questions no. 36 to 38 are Case study-based questions, carrying 4 marks each.</li>
                            <li>There is no overall choice. However, an internal choice has been provided in 2 questions in Section B, 3 questions in Section C, 2 questions in Section D and one subpart each in 2 questions of Section E.</li>
                            <li>Use of calculators is not allowed.</li>
                        </ol>
                    </div>
            `;

            const selectedChapters = document.getElementById('fullPaper').checked 
                ? ["Full Paper"] 
                : Array.from(document.querySelectorAll('input[name="chapter"]:checked')).map(cb => cb.value);

            // Section A - MCQs
            const mcqs = getRandomQuestions(selectedChapters, 'mcq', 18);
            paperContent += `
                <div class="question-section">
                    <h4 class="section-heading">Section A - Multiple Choice Questions (1 mark each)</h4>
                    <p>Question 1 to 18 are multiple choice questions. Only one of the choices is correct. Select and write the correct choice as well as the answer to these questions.</p>
            `;
            mcqs.forEach((q, i) => {
                paperContent += `
                    <div class="question">
                        <p class="question-text">${questionCounter++}. ${q.question}</p>
                        ${q.options.map((opt, j) => 
                            `<p class="option">${String.fromCharCode(65 + j)}. ${opt}</p>`
                        ).join('')}
                    </div>
                `;
            });

            // Section A - Assertion Reasoning
            const assertions = getRandomQuestions(selectedChapters, 'assertion', 2);
            paperContent += `
                    <h4 class="section-heading" style="margin-top: 30px;">Section A - Assertion Reasoning Questions (1 mark each)</h4>
                    <p>Question No. 19 to 20 consist of two statements – Assertion (A) and Reason (R). Answer these questions by selecting the appropriate option given below:</p>
            `;
            assertions.forEach((q, i) => {
                paperContent += `
                    <div class="question">
                        <p class="question-text">${questionCounter++}. Assertion: ${q.statement1}</p>
                        <p class="option">Reason: ${q.statement2}</p>
                        ${q.options.map((opt, j) => 
                            `<p class="option">${String.fromCharCode(65 + j)}. ${opt}</p>`
                        ).join('')}
                    </div>
                `;
            });

            // Section B - 2 marks
            const twoMarks = getRandomQuestions(selectedChapters, 'twoMark', 5);
            paperContent += `
                </div>
                <div class="question-section">
                    <h4 class="section-heading">Section B - Very Short Answer Questions (2 marks each)</h4>
                    <p>Question No. 21 to 25 are very short answer questions</p>
            `;
            twoMarks.forEach(q => {
                paperContent += `
                    <div class="question">
                        <p class="question-text">${questionCounter++}. ${q}</p>
                    </div>
                `;
            });

            // Section C - 3 marks
            const threeMarks = getRandomQuestions(selectedChapters, 'threeMark', 6);
            paperContent += `
                </div>
                <div class="question-section">
                    <h4 class="section-heading">Section C - Short Answer Questions (3 marks each)</h4>
                    <p>Question No. 26 to 31 are short answer questions</p>
            `;
            threeMarks.forEach(q => {
                paperContent += `
                    <div class="question">
                        <p class="question-text">${questionCounter++}. ${q}</p>
                    </div>
                `;
            });

            // Section D - 5 marks
            const fiveMarks = getRandomQuestions(selectedChapters, 'fiveMark', 4);
            paperContent += `
                </div>
                <div class="question-section">
                    <h4 class="section-heading">Section D - Long Answer Questions (5 marks each)</h4>
                    <p>Question No. 32 to 35 are long answer questions</p>
            `;
            fiveMarks.forEach(q => {
                paperContent += `
                    <div class="question">
                        <p class="question-text">${questionCounter++}. ${q}</p>
                    </div>
                `;
            });

            // Section E - Case Studies
            const caseStudies = getRandomQuestions(selectedChapters, 'caseStudy', 3);
            paperContent += `
                </div>
                <div class="question-section">
                    <h4 class="section-heading">Section E - Case Study Based Questions (4 marks each)</h4>
                    <p>Question No. 36 to 38 are case-based/data-based questions.</p>
            `;
            caseStudies.forEach(cs => {
                paperContent += `
                    <div class="question">
                        <p class="question-text">${questionCounter++}. ${cs.case}</p>
                        ${cs.questions.map((subQ, j) => 
                            `<p class="option">${j + 1}. ${subQ}</p>`
                        ).join('')}
                    </div>
                `;
            });

            // Add buttons below the generated paper
            paperContent += `
                    </div>
                    <div class="action-buttons">
                        <button class="btn btn-primary" onclick="downloadPDF()">Download as PDF</button>
                        <button class="btn btn-success" onclick="window.print()">Print</button>
                        <button class="btn btn-danger" onclick="backToStart()">Back to Start</button>
                    </div>
                </div>
            `;

            generatedPaperContainer.innerHTML = paperContent;
        }

        async function downloadPDF() {
            const element = document.getElementById('generatedPaperContainer');
            
            // Create a temporary div with optimized settings
            const tempDiv = document.createElement('div');
            tempDiv.style.position = 'absolute';
            tempDiv.style.left = '-9999px';
            tempDiv.style.width = '794px'; // A4 width in pXels (210mm)
            tempDiv.style.backgroundColor = 'white';
            tempDiv.style.padding = '20px';
            tempDiv.innerHTML = element.innerHTML;
            document.body.appendChild(tempDiv);

            try {
                const pdf = new jsPDF('p', 'mm', 'a4');
                const pageWidth = pdf.internal.pageSize.getWidth() - 25.4; // 0.5" margins
                const pageHeight = pdf.internal.pageSize.getHeight() - 25.4;
                
                // Split content into pages
                let position = 12.7; // Start with 0.5" top margin
                let remainingHeight = tempDiv.scrollHeight;
                let pageNum = 1;
                
                while (remainingHeight > 0) {
                    // Capture the current page section
                    const canvas = await html2canvas(tempDiv, {
                        scale: 2,
                        windowHeight: pageHeight * 3.78, // mm to px
                        windowWidth: pageWidth * 3.78,
                        y: position * 3.78, // mm to px
                        height: pageHeight * 3.78,
                        useCORS: true,
                        backgroundColor: '#ffffff',
                        logging: false
                    });

                    const imgData = canvas.toDataURL('image/jpeg', 0.92);
                    
                    // Add page to PDF
                    if (pageNum > 1) {
                        pdf.addPage('a4', 'portrait');
                    }
                    
                    pdf.addImage(imgData, 'JPEG', 12.7, 12.7, pageWidth, canvas.height * pageWidth / canvas.width);
                    
                    position += pageHeight;
                    remainingHeight -= pageHeight * 3.78; // px
                    pageNum++;
                }

                document.body.removeChild(tempDiv);
                pdf.save(`${schoolName}_Mathematics_Paper.pdf`);
                
            } catch (error) {
                console.error('PDF generation error:', error);
                alert('Error generating PDF. Please try again.');
                document.body.removeChild(tempDiv);
            }
        }
    </script>
</body>
</html>