[
  {
    "Question": "What is the distance between the points (3, 4) and (7, 1)?",
    "Answer": "C",
    "Explanation": "The distance between two points (x1, y1) and (x2, y2) is calculated using the formula: √((x2-x1)² + (y2-y1)²). Substituting the given points, we get √((7-3)² + (1-4)²) = √(16 + 9) = √25 = 5.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "4",
    "OptionC": "5",
    "OptionD": "6",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Distance Between Two Points",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the midpoint of the line segment joining the points (2, -3) and (4, 5)?",
    "Answer": "B",
    "Explanation": "The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by ((x1+x2)/2, (y1+y2)/2). Substituting the given points, we get ((2+4)/2, (-3+5)/2) = (3, 1).",
    "PictureURL": "",
    "OptionA": "(2, 1)",
    "OptionB": "(3, 1)",
    "OptionC": "(3, 2)",
    "OptionD": "(4, 1)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Midpoint of a Line Segment",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the slope of the line passing through the points (1, 2) and (3, 6)?",
    "Answer": "A",
    "Explanation": "The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2-y1)/(x2-x1). Substituting the given points, we get (6-2)/(3-1) = 4/2 = 2.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "3",
    "OptionC": "4",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Slope of a Line",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "Which of the following lines is parallel to the line y = 3x + 2?",
    "Answer": "C",
    "Explanation": "Parallel lines have the same slope. The slope of the line y = 3x + 2 is 3. Therefore, any line with a slope of 3 is parallel to it. The line y = 3x - 4 has the same slope.",
    "PictureURL": "",
    "OptionA": "y = 2x + 3",
    "OptionB": "y = -3x + 1",
    "OptionC": "y = 3x - 4",
    "OptionD": "y = 4x + 2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Parallel Lines",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "Which of the following lines is perpendicular to the line y = -1/2x + 3?",
    "Answer": "B",
    "Explanation": "Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the line y = -1/2x + 3 is -1/2, so a perpendicular line would have a slope of 2.",
    "PictureURL": "",
    "OptionA": "y = -2x + 1",
    "OptionB": "y = 2x - 3",
    "OptionC": "y = 1/2x + 4",
    "OptionD": "y = -1/2x - 2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Perpendicular Lines",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the equation of a circle with center at (0, 0) and radius 5?",
    "Answer": "A",
    "Explanation": "The equation of a circle with center (h, k) and radius r is (x-h)² + (y-k)² = r². For a circle centered at (0, 0) with radius 5, the equation is x² + y² = 25.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Circle_-_black_simple.svg/1024px-Circle_-_black_simple.svg.png",
    "OptionA": "x² + y² = 25",
    "OptionB": "x² + y² = 10",
    "OptionC": "x² + y² = 5",
    "OptionD": "x² + y² = 50",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Equation of a Circle",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "Find the equation of the line that passes through the point (2, 3) and has a slope of 4.",
    "Answer": "C",
    "Explanation": "The equation of a line in point-slope form is y - y1 = m(x - x1). Substituting the given point (2, 3) and slope 4, we get y - 3 = 4(x - 2), which simplifies to y = 4x - 5.",
    "PictureURL": "",
    "OptionA": "y = 4x + 3",
    "OptionB": "y = 4x + 5",
    "OptionC": "y = 4x - 5",
    "OptionD": "y = 4x - 3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Equation of a Line",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "If the line y = 2x + 1 is reflected over the x-axis, what is the equation of the new line?",
    "Answer": "B",
    "Explanation": "Reflecting a line over the x-axis changes the sign of the y-intercept. The original line y = 2x + 1 becomes y = -2x - 1 after reflection.",
    "PictureURL": "",
    "OptionA": "y = 2x - 1",
    "OptionB": "y = -2x - 1",
    "OptionC": "y = -2x + 1",
    "OptionD": "y = 2x + 1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Reflection Over X-axis",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the radius of the circle given by the equation (x - 3)² + (y + 2)² = 16?",
    "Answer": "D",
    "Explanation": "The equation of a circle is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius. Here, r² = 16, so r = √16 = 4.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "3",
    "OptionC": "5",
    "OptionD": "4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Radius of a Circle",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "Which point lies on the line y = -3x + 4?",
    "Answer": "A",
    "Explanation": "To determine if a point (x, y) lies on the line, substitute the x-value into the equation and see if the resulting y-value matches. For (1, 1), substituting x = 1 gives y = -3(1) + 4 = 1, which matches.",
    "PictureURL": "",
    "OptionA": "(1, 1)",
    "OptionB": "(2, 2)",
    "OptionC": "(3, 3)",
    "OptionD": "(4, 4)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Point on a Line",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the slope of a line perpendicular to the line y = 1/3x - 2?",
    "Answer": "D",
    "Explanation": "The slope of a line perpendicular to another is the negative reciprocal of the original slope. The slope of y = 1/3x - 2 is 1/3, so the perpendicular slope is -3.",
    "PictureURL": "",
    "OptionA": "1/3",
    "OptionB": "-1/3",
    "OptionC": "3",
    "OptionD": "-3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Perpendicular Slope",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the equation of a circle with center at (2, -1) and radius 3?",
    "Answer": "B",
    "Explanation": "The equation of a circle with center (h, k) and radius r is (x-h)² + (y-k)² = r². Substituting the given center and radius, we get (x-2)² + (y+1)² = 9.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Circle_-_black_simple.svg/1024px-Circle_-_black_simple.svg.png",
    "OptionA": "(x+2)² + (y-1)² = 9",
    "OptionB": "(x-2)² + (y+1)² = 9",
    "OptionC": "(x-2)² + (y-1)² = 9",
    "OptionD": "(x+2)² + (y+1)² = 9",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Equation of a Circle",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "What is the y-intercept of the line 2x - 3y = 6?",
    "Answer": "C",
    "Explanation": "To find the y-intercept, set x = 0 and solve for y. Substituting x = 0 into 2x - 3y = 6 gives -3y = 6, so y = -2.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "-3",
    "OptionC": "-2",
    "OptionD": "3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Y-intercept of a Line",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "Which of the following points is the center of the circle given by the equation (x+1)² + (y-4)² = 25?",
    "Answer": "A",
    "Explanation": "The equation of a circle is (x-h)² + (y-k)² = r², where (h, k) is the center. Here, the center is (-1, 4).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Circle_-_black_simple.svg/1024px-Circle_-_black_simple.svg.png",
    "OptionA": "(-1, 4)",
    "OptionB": "(1, -4)",
    "OptionC": "(1, 4)",
    "OptionD": "(-1, -4)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Center of a Circle",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  },
  {
    "Question": "Find the slope of the line that is parallel to the line passing through the points (2, 3) and (4, 7).",
    "Answer": "A",
    "Explanation": "The slope of the line passing through (2, 3) and (4, 7) is (7-3)/(4-2) = 4/2 = 2. A parallel line has the same slope, so the slope is 2.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "1",
    "OptionC": "3",
    "OptionD": "4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Coordinate Geometry Basics",
    "Content Type": "Math",
    "Title": "Parallel Line Slope",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Coordinate Geometry"
  }
]