{
  "title": "Quadrants - Grade 9 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "How many quadrants are in Cartesian plane?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "Quadrant I has signs:", "options": {"A": "(+,+)", "B": "(-,+)", "C": "(-,-)", "D": "(+,-)"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Quadrant II has signs:", "options": {"A": "(+,+)", "B": "(-,+)", "C": "(-,-)", "D": "(+,-)"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "Quadrant III has signs:", "options": {"A": "(+,+)", "B": "(-,+)", "C": "(-,-)", "D": "(+,-)"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "Quadrant IV has signs:", "options": {"A": "(+,+)", "B": "(-,+)", "C": "(-,-)", "D": "(+,-)"}, "correct_answer": "D"},
    {"id": 6, "difficulty": "easy", "question": "Point (3,4) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Point (-2,5) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "Point (-3,-1) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "Point (4,-2) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 10, "difficulty": "easy", "question": "Origin (0,0) is in:", "options": {"A": "Quadrant I", "B": "All quadrants", "C": "No quadrant", "D": "Quadrant IV"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "If x>0 and y>0, point is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "If x<0 and y>0, point is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "If x<0 and y<0, point is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "If x>0 and y<0, point is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 15, "difficulty": "easy", "question": "Points on x-axis are in:", "options": {"A": "Quadrant I", "B": "Quadrant II", "C": "No quadrant", "D": "All quadrants"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Points on y-axis are in:", "options": {"A": "Quadrant I", "B": "Quadrant II", "C": "No quadrant", "D": "All quadrants"}, "correct_answer": "C"},
    {"id": 17, "difficulty": "easy", "question": "Quadrant where both coordinates positive:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Quadrant where x negative, y positive:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Quadrant where both coordinates negative:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Quadrant where x positive, y negative:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},

    {"id": 21, "difficulty": "medium", "question": "Point (0.5, 0.3) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Point (-√2, √3) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Point (-π, -e) is in quadrant: (π≈3.14, e≈2.72)", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Point (1/2, -3/4) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "If point (a,b) is in quadrant II, then point (b,a) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 26, "difficulty": "medium", "question": "Point (sin30°, cos60°) is:", "options": {"A": "(0.5,0.5) in Quadrant I", "B": "(0.5,-0.5) in Quadrant IV", "C": "(-0.5,0.5) in Quadrant II", "D": "(-0.5,-0.5) in Quadrant III"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Point (tan45°, cot45°) is:", "options": {"A": "(1,1) in Quadrant I", "B": "(-1,1) in Quadrant II", "C": "(-1,-1) in Quadrant III", "D": "(1,-1) in Quadrant IV"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "If point is in quadrant III, then its reflection about x-axis is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "If point is in quadrant I, then its reflection about y-axis is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "Point (| -3|, -|2|) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 31, "difficulty": "medium", "question": "Point (-2², (-3)²) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 32, "difficulty": "medium", "question": "If a>0 and b<0, point (a², b²) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Point (2⁻¹, 3⁻¹) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "If point (k, 2k) is in quadrant III, then k is:", "options": {"A": "Positive", "B": "Negative", "C": "Zero", "D": "Any real"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Point (log10, log100) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "If point (x,y) is in quadrant II, then point (-x,-y) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 37, "difficulty": "medium", "question": "Point (sin120°, cos120°) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 38, "difficulty": "medium", "question": "Point (tan135°, cot135°) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
        {"id": 39, "difficulty": "medium", "question": "If point is on line y=-x in quadrant II, its coordinates satisfy:", "options": {"A": "x=y<0", "B": "x=y>0", "C": "x=-y>0", "D": "x=-y<0"}, "correct_answer": "D"},    {"id": 40, "difficulty": "medium", "question": "Point (2! , 3!) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "If a point has coordinates with same sign, it lies in:", "options": {"A": "Quadrant I or II", "B": "Quadrant I or III", "C": "Quadrant II or IV", "D": "Quadrant III or IV"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "If a point has coordinates with opposite signs, it lies in:", "options": {"A": "Quadrant I or II", "B": "Quadrant I or III", "C": "Quadrant II or IV", "D": "Quadrant III or IV"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "medium", "question": "Point (³√-27, ⁴√16) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "If point (sinθ, cosθ) is in quadrant II, then θ is in range:", "options": {"A": "0°-90°", "B": "90°-180°", "C": "180°-270°", "D": "270°-360°"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "medium", "question": "Point (5C2, 5P2) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "If point (x,y) satisfies x+y=0 and x>0, it lies in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 47, "difficulty": "medium", "question": "Point (HCF of 12&18, LCM of 12&18) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
       {"id": 48, "difficulty": "medium", "question": "If point is on line y=-x in quadrant II, coordinates satisfy:", "options": {"A": "x=y>0", "B": "x=-y>0", "C": "x=-y<0", "D": "x=y<0"}, "correct_answer": "C"},    {"id": 49, "difficulty": "medium", "question": "Point (integral of 2x from 0 to 1, derivative of x² at x=2) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "If point (a²,a) is in quadrant II, then a is:", "options": {"A": "Positive", "B": "Negative", "C": "Zero", "D": "Imaginary"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "medium", "question": "Point (mean of 2,4,6,8, range of 1,3,5,7) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "If point (|x|,|y|) is in quadrant I, then original point (x,y) can be in:", "options": {"A": "Any quadrant", "B": "Quadrant I only", "C": "Quadrants I or III", "D": "All except origin"}, "correct_answer": "D"},
    {"id": 53, "difficulty": "medium", "question": "Point (2³-3², 4²-3²) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 54, "difficulty": "medium", "question": "If point is equidistant from axes in quadrant II, coordinates satisfy:", "options": {"A": "x=y>0", "B": "x=-y>0", "C": "x=-y<0", "D": "x=y<0"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "Point (probability of head in coin toss, probability of even number on die) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "If point (Re(z), Im(z)) is in quadrant IV for complex z, then z has:", "options": {"A": "Positive real, positive imaginary", "B": "Negative real, positive imaginary", "C": "Negative real, negative imaginary", "D": "Positive real, negative imaginary"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "Point (value of golden ratio φ, value of 1/φ) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "If point (x,y) satisfies x²=y² and x>0, it lies in quadrants:", "options": {"A": "I only", "B": "I and II", "C": "I and IV", "D": "I and III"}, "correct_answer": "C"},
    {"id": 59, "difficulty": "medium", "question": "Point (sum of first 10 natural numbers, 10th triangular number) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "If point (sinθ, cosθ) is in quadrant III, then θ is in range:", "options": {"A": "0°-90°", "B": "90°-180°", "C": "180°-270°", "D": "270°-360°"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "Point (10th Fibonacci number, 5th Fibonacci number) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "If point is on line bisecting quadrants I and III, it satisfies:", "options": {"A": "x=y", "B": "x=-y", "C": "x=0", "D": "y=0"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Point (value of i², value of i⁴) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 64, "difficulty": "medium", "question": "If point is on line bisecting quadrants II and IV, it satisfies:", "options": {"A": "x=y", "B": "x+y=0", "C": "x=0", "D": "y=0"}, "correct_answer": "B"},
    {"id": 65, "difficulty": "medium", "question": "Point (modulus of 3+4i, argument of 1+i in degrees) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "If point (x,y) has x·y>0, it lies in quadrants:", "options": {"A": "I or II", "B": "I or III", "C": "II or IV", "D": "III or IV"}, "correct_answer": "B"},
    {"id": 67, "difficulty": "medium", "question": "Point (log₂8, log₈2) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "If point (x,y) has x·y<0, it lies in quadrants:", "options": {"A": "I or II", "B": "I or III", "C": "II or IV", "D": "III or IV"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Point (sin⁻¹(1/2) in degrees, cos⁻¹(1/2) in degrees) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "If point (x,y) has x/y>0, it lies in quadrants:", "options": {"A": "I or II", "B": "I or III", "C": "II or IV", "D": "III or IV"}, "correct_answer": "B"},
    {"id": 71, "difficulty": "medium", "question": "Point (tan⁻¹(1) in degrees, cot⁻¹(1) in degrees) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "medium", "question": "If point (x,y) has x/y<0, it lies in quadrants:", "options": {"A": "I or II", "B": "I or III", "C": "II or IV", "D": "III or IV"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Point (Σ(n=1 to 3) n, Π(n=1 to 3) n) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "If point is on circle x²+y²=r² in quadrant I, coordinates satisfy:", "options": {"A": "x>0, y>0, x²+y²=r²", "B": "x<0, y>0, x²+y²=r²", "C": "x<0, y<0, x²+y²=r²", "D": "x>0, y<0, x²+y²=r²"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "Point (10 in binary as decimal, 1010 in binary as decimal) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "If point (x,y) satisfies |x|=|y| and x>0, y<0, it lies in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 77, "difficulty": "medium", "question": "Point (area of circle radius 1, circumference of circle radius 1) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "If point (x,y) satisfies x²>y² and x>0, it could be in quadrants:", "options": {"A": "I only", "B": "I and IV", "C": "I and II", "D": "All quadrants"}, "correct_answer": "B"},
    {"id": 79, "difficulty": "medium", "question": "Point (volume of cube side 2, surface area of cube side 2) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "If point (x,y) satisfies x²<y² and y>0, it could be in quadrants:", "options": {"A": "I only", "B": "I and II", "C": "I and IV", "D": "II and III"}, "correct_answer": "B"},

    {"id": 81, "difficulty": "hard", "question": "Point (lim(x→0) sinx/x, lim(x→∞) (1+1/x)^x) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "If point (f(x), g(x)) is always in quadrant I for all x in domain, then:", "options": {"A": "f(x)>0 and g(x)>0 ∀x", "B": "f(x)<0 and g(x)>0 ∀x", "C": "f(x)>0 and g(x)<0 ∀x", "D": "f(x)<0 and g(x)<0 ∀x"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "Point (∫₀¹ x dx, d/dx(x³) at x=1) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "If point (x,y) traces curve y=x³-3x, in which quadrants can it lie?", "options": {"A": "All quadrants", "B": "I, II, III only", "C": "I, III, IV only", "D": "I and III only"}, "correct_answer": "C"},
    {"id": 85, "difficulty": "hard", "question": "Point (sum of first 10 natural numbers, 10th triangular number) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "For what values of k does point (k²-1, 2k) lie in quadrant I?", "options": {"A": "k>1", "B": "k<-1 or k>1", "C": "k>1 only", "D": "k>0"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Point (10th Fibonacci number, 5th Fibonacci number) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "If point (x,y) satisfies x²+y²=1 and x>0, y>0, it lies in:", "options": {"A": "Quadrant I arc of unit circle", "B": "Quadrant II arc", "C": "Quadrant III arc", "D": "Quadrant IV arc"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "Point (value of i², value of i⁴) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "B"},
    {"id": 90, "difficulty": "hard", "question": "Find all quadrants where point (|x|+|y|, |x|-|y|) can lie for nonzero x,y.", "options": {"A": "I only", "B": "I and IV", "C": "I, II, III, IV", "D": "None"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Point (Re(3+4i), Im(3+4i)) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "If point (x,y) is in quadrant II, then point (1/x, 1/y) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "D"},
    {"id": 93, "difficulty": "hard", "question": "Point (modulus of 3+4i, argument of 1+i in degrees) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "For point (x,y) on ellipse x²/4+y²/9=1, maximum number of quadrants it can be in:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "D"},
    {"id": 95, "difficulty": "hard", "question": "Point (log₂8, log₈2) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "If point (x,y) satisfies x³+y³=0 and x≠0, it lies in quadrants:", "options": {"A": "I and III", "B": "II and IV", "C": "All quadrants", "D": "On lines y=±x"}, "correct_answer": "B"},
    {"id": 97, "difficulty": "hard", "question": "Point (sin⁻¹(1/2) in degrees, cos⁻¹(1/2) in degrees) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "For hyperbola xy=1, points lie in quadrants:", "options": {"A": "I and II", "B": "I and III", "C": "I and IV", "D": "II and IV"}, "correct_answer": "B"},
    {"id": 99, "difficulty": "hard", "question": "Point (tan⁻¹(1) in degrees, cot⁻¹(1) in degrees) is in quadrant:", "options": {"A": "I", "B": "II", "C": "III", "D": "IV"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "If point (x,y) satisfies x⁴+y⁴=1, maximum number of quadrants it can occupy:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "D"}
  ]
}