Trivia Quiz On Hyperbolas 10.4

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| By Salgm

Salgm

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Quizzes Created: 5 | Total Attempts: 3,897

| Attempts: 340

2.

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

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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1
3.

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

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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4.

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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5.

The vertices are?

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.

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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Trivia Quiz On Hyperbolas 10.4

A hyperbola is the conic that has __

Quiz Preview

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

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

The center is at?

The vertices are?

The length of the major axis is?