Trivia Quiz On Hyperbolas 10.4

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| By Salgm
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Salgm
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Quizzes Created: 5 | Total Attempts: 3,981
| Attempts: 345
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  • 1/6 Questions

    A hyperbola is the conic that has __

    • Asymptotes
    • Minor axis
    • 1 focus
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Trivia Quiz On Hyperbolas 10.4 - Quiz
About This Quiz

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  • 2. 
    The center is at? - ProProfs

    The center is at?

    Explanation
    The answer (-3,2) indicates that the center of the given object, which is not specified in the question, is located at the coordinates (-3,2).

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  • 3. 
    The length of the major axis is? - ProProfs

    The length of the major axis is?

    • 3

    • 6

    • 9

    • 12

    Correct Answer
    A. 6
    Explanation
    The length of the major axis refers to the longest diameter of an ellipse. In this case, the given options represent different lengths for the major axis. Among these options, the correct answer is 6, as it represents the length of the major axis.

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  • 4. 

    X^2 / 4 - y^2 / 19 = 1 has a major axis length of __?

    Correct Answer
    2
    Explanation
    The equation x^2 / 4 - y^2 / 19 = 1 represents a hyperbola. The major axis of a hyperbola is the longer axis, which is determined by the term with the larger coefficient. In this case, the term with the larger coefficient is x^2 / 4, so the major axis length is 2.

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  • 5. 
    The vertices are? - ProProfs

    The vertices are?

    Correct Answer
    (0,2)(-6,2)
    (0,2) (-6,2)
    Explanation
    The given answer states that the vertices are (0,2)(-6,2) and (0,2)(-6,2). This means that there are two sets of coordinates given, (0,2) and (-6,2), and both sets are repeated.

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  • 6. 

    Y^2 / 9 - x^2 / 16 = 1 has foci at __?

    Correct Answer
    (0,+/-5)
    (0,5) (0,-5)
    Explanation
    The equation y^2 / 9 - x^2 / 16 = 1 represents a hyperbola with its center at the origin (0,0). The foci of a hyperbola are located along the transverse axis, which is the y-axis in this case. The distance from the center to each focus is given by c, where c^2 = a^2 + b^2, and a and b are the lengths of the conjugate and transverse axes, respectively. In this equation, a = 3 and b = 4. Plugging these values into the equation, we get c^2 = 3^2 + 4^2 = 9 + 16 = 25. Therefore, c = 5. Since the foci are located along the y-axis, the coordinates of the foci are (0,5) and (0,-5).

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 19, 2010
    Quiz Created by
    Salgm
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