What is the distance between the vertices of the hyperbola with one focus at (-1, 4) and co-vertices at (3,-2) and (-5,-2)

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: Find the coordinates of the vertices of the ellipse with foci at (-6,-3) and (10,-3) and has minor…

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Q: Find an equation of the hyperbola having foci at (8, - 2) and (12, -2) and vertices at (9, - 2) and…

A: Here we have to find the equation of hyperbola having foci at (8,-2) and (12,-2) and Vertices at…

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

Q: find the equation of hyperbola with center (4,-1), transverse axis parallel to the y axis distance…

A: Given: A hyperbola with center 4, -1 , whose transverse axis is parallel to the y-axis. The…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-3, –4),…

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Q: What is the standard equation of the hyperbola

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Q: What is the length of the latus rectum of a parabola having its vertex at the origin and focus at…

A: The length of latus rectum of parabola = 4a

Q: Find an equation of the hyperbola having foci at (8,-5) and (12,-5) and vertices at (9,-5) and…

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

Q: Choose the type of the conic section. O hyperbola O parabola

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Q: 2. The points where a hyperbola intersects the line through the foci are called the

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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: What is the equation of the hyperbola with Foci at (5, 0) and (-5, 0) and conjugate axis of length…

A: Use basic concept of hyperbola

Q: What is the standard form equation of the hyperbola that has vertices (0,±1) and foci (0,±5)?

A: If the transverse axis on the y-axis , then equation of hyperbola is…

Q: Write the equation of the hyperbola that has a center at (2, – 4), a focus at ( – 2, – 4), and a…

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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: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: What are the equations of the asymptotes of a standard hyperbola with vertices on the x-axis?

A: Find the equations of the asymptotes of a standard hyperbola with vertices on the x-axis.

Q: Find the coordinates of the foci of the ellipse with vertices at (11,3) and (-15,3) and has minor…

A: To find the coordinates of the foci of the ellipse with vertices at 11, 3 and -15, 3 and has minor…

Q: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

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: Determine the standard form of equation of a hyperbola with center at (-2,1), distance from the…

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Q: What is the distance between the foci of the hyperbola with foci at (2-√13,3)and (2+√13, 3) and…

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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: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

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Q: 2. What is the equation of a horizontal hyperbola with (x-4)² 81 (y + 3)² 81 (x-4)² 25 (x-3)² 25 (y…

A: Given problem:- What is the equation of a horizontal hyperbola with a center at (4,-3), a transverse…

Q: Find an equation of the hyperbola having foci at (-5, -9) and (-5, 11) and vertices at (-5, -4) and…

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Q: How many arrangements can be made using 2 letters of the word HYPERBOLAS if no letter is to be used…

A: To find the number of arrangements which can be made using two letters of the word HYPERBOLAS if…

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: What is the standard form equation of the ellipse that has vertices (−4,−12) and (−4,2) and…

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Q: 3. Find an equation of the hyperbola having foci at (4, 2) and (4,8) and vertices at (4,4) and (4,…

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Q: What are the coordinates of the foci of the hyperbola whose equation in standard form (x +4)² is…

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Q: Find the equation of the hyperbola in standard form centered at (3, –8) having a conjugate axis of…

A: Topic:- equation of  hyperbola

Q: Why is distance between vertices for hyperbola equal to 2a?

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Q: How is the distance between vertices for hyperbola equal to 2a?

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Q: Find an equation of the hyperbola having foci at (-2, 6) and (-2, 12) and vertices at (-2, 8) (-2,…

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Q: Find the eccentricity of a hyperbola having distance between foci equal to 18 and the distance…

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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 (1,…

A: We have to find an equation of the hyperbola having foci at (1, 3) and (1, 11) and vertices at (1,…

Q: Find an equation of the hyperbola having foci at (-2,-10) and (-2, 4) and vertices at (-2,-4) and…

A: Given:   Foci: (−2,−10) , (−2,−10)   Vertices: (−2,−4)  , (−2,−4)

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: 2. Graph an ellipse with center at (1,2), vertices at (6,2)and (-4, 2), co-vertices at (1, 6)and (1,…

A: Given:        Center at 1,2        Vertices at 6,2 and -4,2         co-vertices at 1,6 and 1,-2…

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 an equation for the conic that satisfies the given conditions. hyperbola, vertices (-1, -3),…

A: To find the equation of hyperbola that satisfy the following conditions- vertices(-1, -3) , (-1, 5)…

Q: Show that the product of the distances of any point if a hyperbola from it's asymptotes is constant.

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Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: The hyperbola with vertices at (0, 3) and (0, -3) and foci at (0, 5) and (0, -5) has the equation

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Q: Find an equation of the hyperbola having foci at (5,4) and (5, 10) and vertices at (5, 5) and (5,…

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