Equation of Circles and Formas of Presentation
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Questions and Answers

¿Cuál es la ecuación de la circunferencia con centro en el punto (3, -4) y radio 5?

  • $(x - 3)^2 + (y - 4)^2 = 25$ (correct)
  • $(x + 3)^2 + (y + 4)^2 = 25$
  • $(x + 3)^2 + (y - 4)^2 = 25$
  • $(x - 3)^2 + (y + 4)^2 = 25$

    • ¿Cuál es la forma ordinaria de la ecuación de la circunferencia con centro en el origen y radio 6?

  • $x^2 - y^2 = 6$
  • $x^2 + y^2 = 6$
  • $x^2 - y^2 = 36$
  • $x^2 + y^2 = 36$ (correct)

    • Si la ecuación de una circunferencia es $(x - 1)^2 + (y + 2)^2 = 16$, ¿cuál es la coordenada del centro?

  • (-1, -2)
  • (1, -2) (correct)
  • (1, 2)
  • (-1, 2)

    • Si la ecuación de una circunferencia es $x^2 + (y - 3)^2 = 9$, ¿cuál es la coordenada del centro?

    <p>(0, 3)</p> Signup and view all the answers

    What is the canonical form?

    <p>The simplest form of an ordinary equation of a curve</p> Signup and view all the answers

    Which type of equation does the canonical form represent?

    <p>The simplest type of equation</p> Signup and view all the answers

    What does the canonical form aim to achieve?

    <p>Simplify the equation</p> Signup and view all the answers

    In what way is the canonical form beneficial?

    <p>It simplifies the equation and aids in analysis</p> Signup and view all the answers

    What is the canonical form?

    <p>The simplest type of equation for a curve</p> Signup and view all the answers

    What type of equation does the canonical form represent?

    <p>A simple and basic equation</p> Signup and view all the answers

    In what way is the canonical form beneficial?

    <p>It represents curves in a simple manner</p> Signup and view all the answers

    Which statement best describes the canonical form of an equation?

    <p>It is a simple and basic form of a curve's equation</p> Signup and view all the answers

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