{
  "title": "Coefficient, Degree and Terms - Grade 9 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is the coefficient of x in 3x + 5?", "options": {"A": "3", "B": "x", "C": "5", "D": "8"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "What is the constant term in 2x² + 3x + 7?", "options": {"A": "7", "B": "2", "C": "3", "D": "x"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "How many terms are in 4x + 2y - 3?", "options": {"A": "3", "B": "2", "C": "1", "D": "4"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "What is the coefficient of y in -5y + 2?", "options": {"A": "-5", "B": "5", "C": "y", "D": "2"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "What is the degree of 3x + 4?", "options": {"A": "1", "B": "2", "C": "3", "D": "0"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "What is the degree of 5?", "options": {"A": "0", "B": "1", "C": "5", "D": "undefined"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "How many terms are in 7x² - 2x + 1?", "options": {"A": "3", "B": "2", "C": "1", "D": "4"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "What is the coefficient of x² in -2x² + 3x - 4?", "options": {"A": "-2", "B": "2", "C": "3", "D": "-4"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "What is the constant term in 4x³ - 2x² + x?", "options": {"A": "0", "B": "4", "C": "-2", "D": "1"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "What is the degree of 2x³ - x + 5?", "options": {"A": "3", "B": "2", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "What is the coefficient of x in ½x - 3?", "options": {"A": "½", "B": "1", "C": "-3", "D": "3"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "How many terms are in 5?", "options": {"A": "1", "B": "0", "C": "2", "D": "undefined"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "What is the coefficient of y² in 3y² - 2y + 7?", "options": {"A": "3", "B": "-2", "C": "7", "D": "y²"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "What is the degree of 4x²y?", "options": {"A": "3", "B": "2", "C": "1", "D": "4"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "How many terms are in x + y + z?", "options": {"A": "3", "B": "2", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "What is the constant term in 2x + 3y - 5?", "options": {"A": "-5", "B": "2", "C": "3", "D": "5"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "What is the coefficient of x in -x + 4?", "options": {"A": "-1", "B": "1", "C": "4", "D": "x"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "What is the degree of 7x⁴ - 2x³ + x - 1?", "options": {"A": "4", "B": "3", "C": "1", "D": "7"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "How many terms are in 2a - 3b + 4c - 5?", "options": {"A": "4", "B": "3", "C": "2", "D": "1"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "What is the coefficient of z in 3x + 2y - z?", "options": {"A": "-1", "B": "1", "C": "3", "D": "2"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "What is the coefficient of x² in (x+1)(x+2)?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "What is the degree of 3x³y² + 2x²y³?", "options": {"A": "5", "B": "3", "C": "2", "D": "6"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "How many terms are in (x+2)² after expansion?", "options": {"A": "3", "B": "2", "C": "1", "D": "4"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "What is the coefficient of xy in (x+y)²?", "options": {"A": "2", "B": "1", "C": "0", "D": "-1"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "What is the constant term in (x-3)(x+4)?", "options": {"A": "-12", "B": "12", "C": "1", "D": "7"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "What is the degree of 4x⁵ - 2x³y² + 7?", "options": {"A": "5", "B": "3", "C": "2", "D": "7"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "What is the coefficient of x in (2x+3)(x-1)?", "options": {"A": "1", "B": "2", "C": "3", "D": "-1"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "How many terms are in (a+b+c)² after expansion?", "options": {"A": "6", "B": "3", "C": "4", "D": "9"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "What is the degree of x⁴y³z²?", "options": {"A": "9", "B": "4", "C": "3", "D": "2"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "What is the constant term in (x-2)³?", "options": {"A": "-8", "B": "8", "C": "4", "D": "-4"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "What is the coefficient of x²y in (x+y)³?", "options": {"A": "3", "B": "1", "C": "2", "D": "6"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "What is the degree of 2x² + 3xy + 4y²?", "options": {"A": "2", "B": "1", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "How many terms are in (x-1)(x+1)(x+2)?", "options": {"A": "4", "B": "3", "C": "6", "D": "8"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "What is the coefficient of x³ in (x+1)³?", "options": {"A": "1", "B": "3", "C": "6", "D": "8"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "What is the constant term in (x+5)(x-5)?", "options": {"A": "-25", "B": "25", "C": "0", "D": "5"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "What is the degree of 5x²y + 3xy² - 2x²y²?", "options": {"A": "4", "B": "2", "C": "3", "D": "1"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "What is the coefficient of x in (3x-2)(x+4)?", "options": {"A": "10", "B": "12", "C": "-8", "D": "3"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "How many terms are in (a+b)⁴ after expansion?", "options": {"A": "5", "B": "4", "C": "3", "D": "6"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "What is the degree of 7x³y²z?", "options": {"A": "6", "B": "3", "C": "2", "D": "1"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "What is the constant term in (x-4)²?", "options": {"A": "16", "B": "-16", "C": "8", "D": "-8"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "What is the coefficient of x² in (2x-1)(x+3)?", "options": {"A": "2", "B": "1", "C": "6", "D": "-3"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "What is the degree of x⁵ - 3x³y + 2xy⁴?", "options": {"A": "5", "B": "3", "C": "4", "D": "6"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "How many terms are in (x+y+z)³ after expansion?", "options": {"A": "10", "B": "9", "C": "8", "D": "7"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "What is the coefficient of xy in (2x+3y)²?", "options": {"A": "12", "B": "6", "C": "4", "D": "9"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "medium", "question": "What is the constant term in (x+2)(x-3)(x+1)?", "options": {"A": "-6", "B": "6", "C": "2", "D": "-3"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "What is the degree of 4x⁴y³ - 2x³y⁴ + x⁵y²?", "options": {"A": "7", "B": "4", "C": "3", "D": "5"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "What is the coefficient of x in (x+5)²?", "options": {"A": "10", "B": "5", "C": "25", "D": "2"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "How many terms are in (a-b)³ after expansion?", "options": {"A": "4", "B": "3", "C": "2", "D": "6"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "What is the degree of 3x²y²z²?", "options": {"A": "6", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "What is the constant term in (x-1)³?", "options": {"A": "-1", "B": "1", "C": "3", "D": "-3"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "What is the coefficient of x³ in (x-2)³?", "options": {"A": "1", "B": "3", "C": "-8", "D": "6"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "What is the degree of 2x³ + 5x²y - 3xy² + y³?", "options": {"A": "3", "B": "2", "C": "4", "D": "5"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "How many terms are in (2x+3y)² after expansion?", "options": {"A": "3", "B": "2", "C": "4", "D": "6"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "What is the coefficient of x²y in (x+2y)³?", "options": {"A": "12", "B": "6", "C": "8", "D": "4"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "What is the constant term in (x+3)(x-3)?", "options": {"A": "-9", "B": "9", "C": "0", "D": "6"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "What is the degree of x⁴ - 2x³y + 3x²y² - 4xy³ + y⁴?", "options": {"A": "4", "B": "3", "C": "2", "D": "5"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "What is the coefficient of x in (3x-4)²?", "options": {"A": "-24", "B": "24", "C": "9", "D": "16"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "How many terms are in (x+1)⁴ after expansion?", "options": {"A": "5", "B": "4", "C": "3", "D": "6"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "What is the degree of 7x³y² - 3x²y³ + 5xy⁴?", "options": {"A": "5", "B": "3", "C": "4", "D": "6"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "What is the constant term in (x-5)²?", "options": {"A": "25", "B": "-25", "C": "10", "D": "-10"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "hard", "question": "What is the coefficient of x⁵ in (x+1)⁶?", "options": {"A": "6", "B": "15", "C": "20", "D": "1"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "hard", "question": "What is the degree of (x²+y²)²?", "options": {"A": "4", "B": "2", "C": "8", "D": "16"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "hard", "question": "How many terms are in (x+y+z)⁴ after expansion?", "options": {"A": "15", "B": "10", "C": "20", "D": "25"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "hard", "question": "What is the coefficient of x³y² in (x+y)⁵?", "options": {"A": "10", "B": "5", "C": "20", "D": "15"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "hard", "question": "What is the constant term in (x²+1/x²)²?", "options": {"A": "2", "B": "1", "C": "0", "D": "4"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "hard", "question": "What is the degree of (x³+2x²y+3xy²+4y³)²?", "options": {"A": "6", "B": "3", "C": "9", "D": "12"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "hard", "question": "What is the coefficient of x⁴ in (x²+x+1)²?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "hard", "question": "How many terms are in (a+b+c+d)² after expansion?", "options": {"A": "10", "B": "8", "C": "12", "D": "16"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "hard", "question": "What is the degree of (x⁴+y⁴+z⁴)²?", "options": {"A": "8", "B": "4", "C": "16", "D": "2"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "hard", "question": "What is the constant term in (x+1/x)⁴?", "options": {"A": "6", "B": "4", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "hard", "question": "What is the coefficient of x⁶ in (x²+1)⁴?", "options": {"A": "4", "B": "6", "C": "8", "D": "1"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "hard", "question": "What is the degree of (x²y+y²z+z²x)²?", "options": {"A": "6", "B": "4", "C": "8", "D": "3"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "hard", "question": "How many terms are in (x+y)⁵ after expansion?", "options": {"A": "6", "B": "5", "C": "10", "D": "15"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "hard", "question": "What is the coefficient of x²y³ in (2x+3y)⁵?", "options": {"A": "720", "B": "1080", "C": "540", "D": "360"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "hard", "question": "What is the constant term in (x²+2x+1)³?", "options": {"A": "1", "B": "8", "C": "27", "D": "64"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "hard", "question": "What is the degree of (x³-2x²y+3xy²-4y³)³?", "options": {"A": "9", "B": "3", "C": "6", "D": "12"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "hard", "question": "What is the coefficient of x⁴y in (x+y)⁵?", "options": {"A": "5", "B": "10", "C": "20", "D": "15"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "hard", "question": "How many terms are in (x²+y²+z²)² after expansion?", "options": {"A": "6", "B": "3", "C": "9", "D": "12"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "hard", "question": "What is the degree of (x⁵+2x³y²+3xy⁴)²?", "options": {"A": "10", "B": "5", "C": "8", "D": "12"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "hard", "question": "What is the constant term in (x-1/x)⁴?", "options": {"A": "6", "B": "4", "C": "-4", "D": "1"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "hard", "question": "What is the coefficient of x⁸ in (x²+2x+1)⁴?", "options": {"A": "1", "B": "4", "C": "6", "D": "8"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "What is the degree of (x⁴y²+y⁴z²+z⁴x²)²?", "options": {"A": "12", "B": "8", "C": "6", "D": "16"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "How many terms are in (x²+y²+z²+w²)² after expansion?", "options": {"A": "10", "B": "8", "C": "12", "D": "16"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "What is the coefficient of x³y² in (x+2y)⁵?", "options": {"A": "40", "B": "80", "C": "20", "D": "10"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "What is the constant term in (x+1/x²)⁴?", "options": {"A": "6", "B": "4", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "What is the degree of (x⁶+2x⁴y²+3x²y⁴+4y⁶)²?", "options": {"A": "12", "B": "6", "C": "8", "D": "24"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "What is the coefficient of x⁵ in (1+x)⁷?", "options": {"A": "21", "B": "35", "C": "7", "D": "1"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "How many terms are in (x+y+z+w)² after expansion?", "options": {"A": "10", "B": "8", "C": "12", "D": "16"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "What is the degree of (x⁷+3x⁵y²+5x³y⁴+7xy⁶)²?", "options": {"A": "14", "B": "7", "C": "21", "D": "28"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "What is the constant term in (x²+1/x)⁴?", "options": {"A": "6", "B": "4", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "What is the coefficient of x⁶y² in (x²+y)⁵?", "options": {"A": "10", "B": "5", "C": "20", "D": "15"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "What is the degree of (x⁸+2x⁶y²+3x⁴y⁴+4x²y⁶+5y⁸)²?", "options": {"A": "16", "B": "8", "C": "24", "D": "32"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "How many terms are in (x²+y²+z²+w²+u²)² after expansion?", "options": {"A": "15", "B": "10", "C": "20", "D": "25"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "What is the coefficient of x⁴y³ in (2x+3y)⁷?", "options": {"A": "15120", "B": "7560", "C": "30240", "D": "3780"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "What is the constant term in (x³+1/x³)²?", "options": {"A": "2", "B": "1", "C": "0", "D": "6"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "What is the degree of (x¹⁰+2x⁸y²+3x⁶y⁴+4x⁴y⁶+5x²y⁸+6y¹⁰)²?", "options": {"A": "20", "B": "10", "C": "30", "D": "40"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "What is the coefficient of x⁷ in (1+2x)¹⁰?", "options": {"A": "15360", "B": "7680", "C": "3840", "D": "1920"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "How many terms are in (x+y+z+w+u)² after expansion?", "options": {"A": "15", "B": "10", "C": "20", "D": "25"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "What is the degree of (x¹²+2x¹⁰y²+3x⁸y⁴+4x⁶y⁶+5x⁴y⁸+6x²y¹⁰+7y¹²)²?", "options": {"A": "24", "B": "12", "C": "36", "D": "48"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "What is the constant term in (x⁴+1/x⁴)²?", "options": {"A": "2", "B": "1", "C": "0", "D": "8"}, "correct_answer": "A"}
  ]
}