1. Find the equation of the hyperbola satisfying the following conditions: Vertices 4. (+7,0) and e = 3

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

Q: 2. Sketch the hyperbola y² - 2y - 4x² - 8x - 7 = 0. Find its centre, foci, eccentricity, asymptotes,…

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Q: y2- 9x2 + 2y + 10 = 0.. Ans. C(0,-1), V(± 1,-1), F(± √/10,-1), y + 1 = ± 3x.

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Q: Determine the equations of the asymptotes for the hyperbola: (+5)²_ (x + 2)² =1 = O x = -2; y = -5 O…

A: To determine the equations of the asymptotes for the hyperbola: y+524-x+229=1

Q: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

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Q: VI. Find an equation of the hyperbola given the following conditions: 7. Center (2, -1), one focus…

A: Center of the hyperbola is 2, -1, one focus is 7, -1 and one vertex is 6, -1. Now center of the…

Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

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Q: 9. Find the equation of the hyperbola, in standard form, with vertex (2,-5), focus (-1,-5) and…

A: The vertex is (2, -5), focus is (-1 -5) and the center is (5, -5). Observe that the y coordinate of…

Q: Find the standard form of the equation of the hyperbola with the given characteristics vertices: (-…

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Q: C) (y+2)2=.24(y+2x) D) (x-2)²=-24(y+4) E) (x+2)²=-24(y+2)

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Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

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Q: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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Q: Given the following information about the hyperbola, find both its standard and general form. 1.…

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