Determine the equation of the hyperbola and its asymptotes if it has:  A)Foci F1 (7, 0) and F2 (- 7, 0), vertices V1 (2, 0) and V2 (-2, 0).  B) Foci F1 (0, 8) and F2 (0, - 8), vertices V1 (0, 2) and V2 (0, -2).

Q: Determine the equation of a hyperbola having foci (0, +4) and asymptotes y =

A: Given:  Foci :( 0 , ±4 )   Asymptotes: y = ±3x

Q: = 18 , find the co-ordinates of the vertices, foci, equations of the For the hyperbola 9Y² – 2X?…

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Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

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Q: Find the standard form equation for the hyperbola with vertices (0,12), (0,-12) and foci (0,13),…

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Q: Find the equation of the hyperbola with vertices (- 2, 1) and (6, 1) and foci (- 3, 1) and (7, 1) .

A: First we find centre.

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A: Given problem:- Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex…

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A: A hyperbola has two curves that do not touch each other.  A hyperbola is a curve whose equation is…

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A: Formula used:Since in foci and vertices have common y value so the hyperbola having horizontal…

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: 19. Find the standard form of the equation of the hyperbola satisfying the conditions below. Foci:…

A: We have to find the standard form of the equation of the hyperbola satisfying the conditions below.…

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Q: Find an equation of the hyperbola having foci at (4, 1) and (4, 9) and vertices at (4, 2) and (4,…

A: Answer

Q: Which is the corresponding equation of a hyperbola with vertices at (11, 0) and (-11, 0) and…

A: We have to find the equation of hyperbola with vertices at 11,0 ,-11,0 and co-vertices 0,22 and…

Q: What must be true of the foci of a hyperbola? The foci must lie --Select--- of the hyperbola and…

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Q: Find the equation of the hyperbola in general form with foci at (-2, 0) and (2, 0), vertices at (-1,…

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Q: Foci at (0,5) and (0,-5) and a vertex at (0,4)

A: Vertex is at (0,4) Focus is at (0,5) and (0,-5) . Its lies on the y axis So its a vertical hyperbola…

Q: Find an equation of the hyperbola having foci at (1, -5) and (1, 9) and vertices at (1, -2) and (1,…

A: Notice that the below equation satisfies the given information.

Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A…

A: The given hyperbola equation,        4y2-x2=4

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Given: Foci F0,±5, conjugate axis of length 4 For given data transverse axis is on y-axis and…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions as Foci: (0,…

A: Foci are 0, -3 & 0, 3 and vertices are 0, -1 & 0, 1. Since foci and vertices are on the…

Q: Find an equation of the hyperbola having foci at (3, -4) and (3, 12) and vertices at (3, 2) and (3,…

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Q: Find an equation of the hyperbola having foci at (-1, 3) and (9, 3) and vertices at (1, 3) and (7,…

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Q: Find an equation for the hyperbola with center C(0,0), foci F(0,±9), and vertices V(0,±7).

A: Plotting the center, foci, vertices on the graph. We can say that the vertical axis is the…

Q: Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse…

A: In a hyperbola the straight line joining two vertices is the Transverse axis Distance between the…

Q: Find an equation of the hyperbola having foci at (3, -11) and (3, 7) and vertices at (3, -4) and (3,…

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Q: Find the standard equation of the hyperbola 1. Asymptotes y=4/3x + 1/3 and y=-4/3x +41/3, a vertex…

A: Solution of the problem as follows

Q: find an equation for the hyperbola with center C (0,0), vertices V (+-4,0), and foci F (+-6,0)

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Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

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Q: Find the equation of the hyperbola with vertices (-2,1) and (6, 1) and foci (-3, 1) and (7,1).…

A: Solve the following

Q: Find an equation of the hyperbola having foci at (4,-11) and (4,7) and vertices at (4,-8) and (4,4)

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Q: 2. Find an equation of the hyperbola with vertices (2, 3) and (2. -3), and foci (2. 5) and (2. -5).

A: Given that: Vertices=(2,3) and (2, -3)Foci = (2, 5) and (2, -5)

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Q: Find an equation for the hyperbola with foci (0, -2) and (0, 2) that passes through the point (12,…

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Q: Find an equation of the hyperbola having foci at (1, -7) and (1, 3) and vertices at (1, -5) and (1,…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: General equation of the hyperbola:(x-h)2a2-(y-k)2b2=1             Horizontal Hyperbola…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices…

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Q: Find the equation of the hyperbola. Foci at (3, 6) and (7, 6), and vertex at (6, 6)

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Q: Find the equation for the hyperbola with center C (2, 4), foci F (2, 1)and F2 (2, 7), and vertices V…

A: Please see the answer in step 2

Q: Find the standard form equation for a hyperbola with vertices at (5, 0) and ( – 5, 0), that passes…

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Q: Find an equation of the hyperbola having foci at (7, 1) and (11, 1) and vertices at (8, 1) and…

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Q: Find an equation of the hyperbola having foci at (-6, 4) and (8, 4) and vertices at (-1,4) (3, 4).…

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Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: Find the vertices, the foci and asymptotes of the following hyperbola. 4x? – 49y? = 196 Vertices :…

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Q: Find an equation of the hyperbola having foci at (-1, 3) and (-1, 11) and vertices at (-1, 6) and…

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Q: Determine the equation of the hyperbola using the information given. endpoints of the conjugate axis…

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Q: Find an equation of the hyperbola having foci at (-3, 1) and (-3, 9) and vertices at (-3, 4) and…

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Q: Find the equation of the hyperbola with vertices (-2, 1) and (6, 1) and foci (-3, 1) and (7, 1).

A: Vertices of hyperbola = -2, 1 and 6,1 Foci of hyperbola = -3, 1 and 7, 1