D Coordinate Geometry Quiz
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Questions and Answers

Which of the following is the equation of a plane in three-dimensional space?

  • x - y + 2z = 3 (correct)
  • y = mx + b
  • x^2 + y^2 + z^2 = 1
  • x + y + z = 1

    • What is the distance between the points (1, 2, 3) and (4, 5, 6)?

  • √27
  • √6 (correct)
  • √2
  • √3

    • Which of the following is the equation of a sphere in three-dimensional space?

  • x^2 + y^2 = 1
  • x^2 + y^2 + z^2 = 1 (correct)
  • x + y + z = 1
  • y = mx + b

    • What is the equation of the line passing through the points (1,2,3) and (4,5,6)?

    <p>3x + 2y - 5z - 10 = 0</p> Signup and view all the answers

    What is the distance between the point (1,2,3) and the plane with equation 2x - 3y + 4z - 5 = 0?

    <p>5/7</p> Signup and view all the answers

    What is the equation of the sphere with center (2, -1, 3) and radius 4?

    <p>(x - 2)^2 + (y + 1)^2 + (z - 3)^2 = 4^2</p> Signup and view all the answers

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