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Questions and Answers
What is the center of a hyperbola whose equation is given by $-4x^2 + y^2 + 8x + 2y - 19 = 0$?
What is the center of a hyperbola whose equation is given by $-4x^2 + y^2 + 8x + 2y - 19 = 0$?
- (2, -1)
- (-2, 1)
- (-2, -1) (correct)
- (2, 1)
Which of the following represents the correct equation of a hyperbola with center at (-3, 4)?
Which of the following represents the correct equation of a hyperbola with center at (-3, 4)?
- $-4x^2 + 25y^2 - 100y = 0$
- $-9x^2 + y^2 + 54x - 2y - 89 = 0$
- $4x^2 - 25y^2 - 50y - 125 = 0$ (correct)
- $25x^2 - 9y^2 + 100x - 125 = 0$
What are the foci coordinates of a hyperbola with vertices at (-5, 8) and (1, 8)?
What are the foci coordinates of a hyperbola with vertices at (-5, 8) and (1, 8)?
- (3, 8), (-3, 8)
- (4, 8), (-4, 8)
- (5, 8), (-1, 8) (correct)
- (2, 8), (-2, 8)
If the slope of a hyperbola is $-3/4$, what is the equation of the hyperbola's asymptotes?
If the slope of a hyperbola is $-3/4$, what is the equation of the hyperbola's asymptotes?
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Given a hyperbola with equation $9x^2 - y^2 + 36x - 2y + 26 = 0$, what are the vertices of this hyperbola?
Given a hyperbola with equation $9x^2 - y^2 + 36x - 2y + 26 = 0$, what are the vertices of this hyperbola?
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