{
  "title": "Plotting Points (Introduction to Graphs) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "To plot (3,4), move 3 units right and 4 units ____. ↗️",
      "options": { "A": "Up", "B": "Down", "C": "Left", "D": "Nowhere" },
      "correct_answer": "A"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "Where is point (-2,5) located? 🗺️",
      "options": {
        "A": "Quadrant I",
        "B": "Quadrant II",
        "C": "Quadrant III",
        "D": "Quadrant IV"
      },
      "correct_answer": "B"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "Point (0,-3) lies on which axis? 📍",
      "options": {
        "A": "Positive x-axis",
        "B": "Negative y-axis",
        "C": "Positive y-axis",
        "D": "Origin"
      },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "Which point is in Quadrant III? 🔄",
      "options": { "A": "(1,-2)", "B": "(-1,-2)", "C": "(-1,2)", "D": "(1,2)" },
      "correct_answer": "B"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "How do you plot ( -4,0)? ➖",
      "options": {
        "A": "4 left, 0 up/down",
        "B": "4 right, 0 up",
        "C": "0 left, 4 down",
        "D": "4 left, 4 down"
      },
      "correct_answer": "A"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "Point (5,0) lies on ____. 📏",
      "options": {
        "A": "x-axis",
        "B": "y-axis",
        "C": "Quadrant I",
        "D": "Quadrant IV"
      },
      "correct_answer": "A"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "Which is correctly plotted? ✅",
      "options": {
        "A": "(2,3): 2 right, 3 up",
        "B": "(2,3): 2 up, 3 right",
        "C": "(-2,3): 2 right, 3 up",
        "D": "(2,-3): 2 right, 3 up"
      },
      "correct_answer": "A"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "If y-coordinate is 0, point lies on ____. ➖",
      "options": {
        "A": "x-axis",
        "B": "y-axis",
        "C": "origin",
        "D": "Quadrant I"
      },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "Plotting (0,0) is at the ____. ⭐",
      "options": {
        "A": "Origin",
        "B": "x-axis",
        "C": "y-axis",
        "D": "Quadrant I"
      },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "Point symmetric to (3,4) about x-axis is? 🪞",
      "options": { "A": "(-3,4)", "B": "(3,-4)", "C": "(-3,-4)", "D": "(4,3)" },
      "correct_answer": "B"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "Which point is farthest from origin? 🎯",
      "options": { "A": "(1,1)", "B": "(4,0)", "C": "(0,5)", "D": "(3,4)" },
      "correct_answer": "D"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "Point ( -6, -6) is in which quadrant? 🔢",
      "options": { "A": "I", "B": "II", "C": "III", "D": "IV" },
      "correct_answer": "C"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "To plot (-5,2), move 5 units ____ and 2 units ____. ↖️",
      "options": {
        "A": "left, up",
        "B": "right, up",
        "C": "left, down",
        "D": "right, down"
      },
      "correct_answer": "A"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "If point lies on positive y-axis, its coordinates are? ⬆️",
      "options": {
        "A": "(0,a) where a>0",
        "B": "(a,0) where a>0",
        "C": "(a,a)",
        "D": "(-a,0)"
      },
      "correct_answer": "A"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "Which point is closest to x-axis? 📏",
      "options": {
        "A": "(7,1)",
        "B": "(3,5)",
        "C": "(0,4)",
        "D": "(2,0)"
      },
      "correct_answer": "D"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "Mirror image of (4,-3) over y-axis is? 🪞",
      "options": { "A": "(-4,-3)", "B": "(4,3)", "C": "(-4,3)", "D": "(3,4)" },
      "correct_answer": "A"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "Point on x-axis with x= -7 is? ➖",
      "options": { "A": "(-7,0)", "B": "(0,-7)", "C": "(7,0)", "D": "(0,7)" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "Which is not a valid coordinate? ❌",
      "options": {
        "A": "(2.5, 3)",
        "B": "(-1, 0)",
        "C": "(0, 0)",
        "D": "(3, )"
      },
      "correct_answer": "D"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "Point symmetric to (a,b) about origin is? 🔄",
      "options": {
        "A": "( -a, -b)",
        "B": "( -a, b)",
        "C": "(a, -b)",
        "D": "(b, a)"
      },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "If a point's both coordinates are negative, it lies in ____. 📉",
      "options": {
        "A": "Quadrant I",
        "B": "Quadrant II",
        "C": "Quadrant III",
        "D": "Quadrant IV"
      },
      "correct_answer": "C"
    },

    {
      "id": 21,
      "difficulty": "medium",
      "question": "Plot points A(2,3), B(2,0), C(2,-3). They lie on a line ____. 📏",
      "options": {
        "A": "Parallel to x-axis",
        "B": "Parallel to y-axis",
        "C": "Passing through origin",
        "D": "Slanting"
      },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "Which point lies on line y = 2x? 📈",
      "options": {
        "A": "(3,6)",
        "B": "(2,5)",
        "C": "(1,3)",
        "D": "(0,2)"
      },
      "correct_answer": "A"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "Points (1,2), (3,4), (5,6) are collinear. True or false? ✅",
      "options": {
        "A": "True",
        "B": "False",
        "C": "Only two are",
        "D": "Can't determine"
      },
      "correct_answer": "A"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "If you plot all points where x = -4, you get a line ____. ↕️",
      "options": {
        "A": "Horizontal",
        "B": "Vertical",
        "C": "Through origin",
        "D": "Slanted"
      },
      "correct_answer": "B"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "Point equidistant from (2,0) and (-2,0) is? ⚖️",
      "options": { "A": "(0,0)", "B": "(0,2)", "C": "(2,2)", "D": "(1,0)" },
      "correct_answer": "A"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "Which set of points forms a square? 🟦",
      "options": {
        "A": "(0,0),(2,0),(2,1),(0,1)",
        "B": "(0,0),(1,0),(1,1),(0,1)",
        "C": "(0,0),(3,0),(3,1),(0,1)",
        "D": "(0,0),(4,0),(4,3),(0,3)"
      },
      "correct_answer": "B"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "Point on y-axis 3 units below origin is? ⬇️",
      "options": { "A": "(0,-3)", "B": "(-3,0)", "C": "(3,0)", "D": "(0,3)" },
      "correct_answer": "A"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "Points (0,0), (3,0), (3,4) form which triangle? 📐",
      "options": {
        "A": "Right-angled",
        "B": "Equilateral",
        "C": "Isosceles",
        "D": "Scalene"
      },
      "correct_answer": "A"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "If (k, 2k) lies on line y=2x, k can be? 🔢",
      "options": {
        "A": "Any real number",
        "B": "Only 0",
        "C": "Only 1",
        "D": "Only positive"
      },
      "correct_answer": "A"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "Which point is between (0,0) and (4,4) on same line? 🔄",
      "options": { "A": "(2,2)", "B": "(1,3)", "C": "(3,1)", "D": "(4,0)" },
      "correct_answer": "A"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "Plotting all points with y = -2 gives a line ____. ➖",
      "options": {
        "A": "Parallel to x-axis",
        "B": "Parallel to y-axis",
        "C": "Through origin",
        "D": "Diagonal"
      },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "Point symmetric to (5,-2) about origin then x-axis? 🔄",
      "options": { "A": "(-5,2)", "B": "(-5,-2)", "C": "(5,2)", "D": "(2,5)" },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "Which points are vertices of rectangle? 🧱",
      "options": {
        "A": "(1,1),(4,1),(4,3),(1,3)",
        "B": "(1,1),(2,2),(3,1),(2,0)",
        "C": "(0,0),(1,1),(2,0),(1,-1)",
        "D": "(1,2),(2,3),(3,4),(4,5)"
      },
      "correct_answer": "A"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "If point lies on both axes, it must be? 📍",
      "options": { "A": "Origin", "B": "(1,1)", "C": "(0,1)", "D": "(1,0)" },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "Distance of plotted point (6,8) from origin is? 📏",
      "options": { "A": "10", "B": "14", "C": "7", "D": "12" },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "Point dividing join of (0,0) and (8,6) in ratio 3:1 is? 📍",
      "options": {
        "A": "(6,4.5)",
        "B": "(4,3)",
        "C": "(2,1.5)",
        "D": "(7,5.25)"
      },
      "correct_answer": "A"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "If (a,b) is in Quadrant II, (-a,-b) is in? 🔄",
      "options": {
        "A": "Quadrant IV",
        "B": "Quadrant II",
        "C": "Quadrant I",
        "D": "Quadrant III"
      },
      "correct_answer": "A"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "Which point lies inside circle radius 5 at origin? 🔵",
      "options": {
        "A": "(3,4)",
        "B": "(5,0)",
        "C": "(0,5)",
        "D": "(4,3)"
      },
      "correct_answer": "D"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "Midpoint of segment joining (-4,6) and (8,-2) is? 📍",
      "options": { "A": "(2,2)", "B": "(4,4)", "C": "(6,2)", "D": "(2,4)" },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "Points (0,0), (3,0), (0,4) form what shape? 📐",
      "options": {
        "A": "Right triangle",
        "B": "Equilateral triangle",
        "C": "Square",
        "D": "Line"
      },
      "correct_answer": "A"
    },

    {
      "id": 41,
      "difficulty": "hard",
      "question": "If points (1,2), (4,y), (x,6) are collinear with slope 2, find x and y. 🧠",
      "options": {
        "A": "x=3, y=8",
        "B": "x=5, y=10",
        "C": "x=2, y=5",
        "D": "x=4, y=7"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "Plot points satisfying |x| + |y| = 4. Shape formed is? 🔶",
      "options": {
        "A": "Square",
        "B": "Circle",
        "C": "Rectangle",
        "D": "Diamond (rhombus)"
      },
      "correct_answer": "D"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "Point on line 3x+4y=12 closest to origin is? 🎯",
      "options": {
        "A": "(12/5, 9/5)",
        "B": "(3,0)",
        "C": "(0,3)",
        "D": "(4,0)"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "Area of polygon with vertices (0,0), (4,0), (4,3), (0,5) is? 📐",
      "options": {
        "A": "14",
        "B": "16",
        "C": "15",
        "D": "12"
      },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "If point P(k, 2k) is equidistant from (0,0) and (8,0), find k. ⚖️",
      "options": { "A": "2", "B": "4", "C": "1", "D": "8" },
      "correct_answer": "A"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "Point dividing join of (-3,7) and (5,-1) in ratio 3:5 internally is? 📍",
      "options": { "A": "(0,4)", "B": "(1,3)", "C": "(-1,5)", "D": "(2,2)" },
      "correct_answer": "A"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "Locus of points equidistant from (2,3) and (4,5) is a ____. 📏",
      "options": { "A": "Line", "B": "Circle", "C": "Parabola", "D": "Point" },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "Which point is reflection of ( -3, 4) over line y=x? 🔄",
      "options": {
        "A": "(4, -3)",
        "B": "( -4, 3)",
        "C": "(3, -4)",
        "D": "( -3, -4)"
      },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "If centroid of triangle with vertices (0,0), (6,0), (0,8) is (x,y), find x,y. 📐",
      "options": { "A": "(2, 8/3)", "B": "(3,4)", "C": "(6,8)", "D": "(4,3)" },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "Point on y-axis 5 units from ( -3, 4) is? 📏",
      "options": {
        "A": "(0, 4±√21)",
        "B": "(0,0)",
        "C": "(0,9)",
        "D": "(0,-1)"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "Plot all points where x² + y² = 25. Shape is? 🔵",
      "options": {
        "A": "Circle radius 5",
        "B": "Circle radius 25",
        "C": "Square side 5",
        "D": "Line"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "If points (a,0), (0,b), (1,2) are collinear, relation between a and b? 📈",
      "options": {
        "A": "2/a + 1/b = 1",
        "B": "a+b=3",
        "C": "ab=2",
        "D": "a=2b"
      },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "Point inside triangle with vertices (0,0),(4,0),(0,3) is? 📍",
      "options": { "A": "(1,1)", "B": "(2,2)", "C": "(3,1)", "D": "(1,3)" },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "Distance between plotted points ( -2, -3) and (6, 4) is? 📏",
      "options": { "A": "√113", "B": "10", "C": "√85", "D": "11" },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "If point P moves so that its distance from (1,0) is twice distance from (0,1), locus is? 📐",
      "options": {
        "A": "Circle",
        "B": "Line",
        "C": "Parabola",
        "D": "Ellipse"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "Point dividing join of ( -6, 8) and (4, -2) externally in ratio 2:3 is? ➗",
      "options": {
        "A": "(-26,28)",
        "B": "(14,-12)",
        "C": "(0,4)",
        "D": "(-10,10)"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "Orthocenter of triangle with vertices (0,0), (6,0), (0,8) is? 📐",
      "options": { "A": "(0,0)", "B": "(3,4)", "C": "(6,8)", "D": "(2,8/3)" },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "Which point satisfies x>0, y<0 and x+y=2? ➖",
      "options": { "A": "(3,-1)", "B": "(-1,3)", "C": "(1,1)", "D": "(0,2)" },
      "correct_answer": "A"
    },
    {
      "id": "59",
      "difficulty": "hard",
      "question": "If area of triangle with vertices (0,0), (x,0), (0,y) is 12, possible x,y? 📐",
      "options": {
        "A": "x=6, y=4",
        "B": "x=3, y=8",
        "C": "x=12, y=2",
        "D": "x=4, y=6"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "Point on line y=2x+3 closest to origin is? 🎯",
      "options": {
        "A": "(-6/5, 3/5)",
        "B": "(0,3)",
        "C": "(-3/2, 0)",
        "D": "(1,5)"
      },
      "correct_answer": "A"
    }
  ]
}