. Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x? - y? = 25

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

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Q: ind the equation for the graph of the hyperbola with vertices at (0, 2) and (0, -2) and one focus t…

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Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

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Q: Sketch the graphs and find the foci; for the hyperbola, find the equations of the slant asymptotes:…

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Q: For a hyperbola, the foci lie on a line called the_________

A: Given that, A statement, " For a hyperbola, the foci lie on a line called the ______ ."

Q: The equation of the hyperbola that has a center at (– 4, 5), a focus at ( – 4+ V113, 5), and a…

A: Given: A hyperbola with centre (-4,5), focus at -4+113,5, and a vertex at (3,5). An equation of the…

Q: Find the center, verticies, foci, and asymptotes of the hyperbola, and sketch its graph using the…

A: Explained below

Q: The equation of the hyperbola that has a center at (5,4), a focus at (10,4), and a vertex at (8,4),…

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Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

A: Compare the given equation of hyperbola with center (h, k) and the transverse axis parallel to the…

Q: Find the vertices and locate the foci for the following hyperbolas with the given equation: x2/25 -…

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Q: find the coordinates of the foci and vertices, the endpoints of the transverse axis, conjugate axis,…

A: Given:- x9/9- y2/25=1 To find:- find the coordinates of the foci and vertices, the endpoints of the…

Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci…

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Q: find the equations of the asymptotes of each hyperbola. x2 - 9y2 = 25

A: Given equation of hyperbola is, x2-9y2=25 Standard form of equation of hyperbola: x-h2a2+y-k2b2=1…

Q: Graph the hyperbola 16x^2−32x−4y^2−24y−84=0, noting the center, vertices, cover-tices, and foci.

A: The given equation of hyperbola is 16x2-32x-4y2-24y-84=0. Convert the equation of hyperbola into its…

Q: Consider the parabola whose vertex us at (2,-1) amd focus at (0,-1). What is the general form of the…

A: Given, The vertex of the parabola = 2, -1  Focus of the parabola = 0,-1 We have to write the general…

Q: Find the vertices, asymptotes, and foci of a hyperbola with the equation (x+1)^2 - (y-3)^2 = 4.

A: To find the vertices, asymptotes, and foci of a hyperbola with the equation, x+12-y-32=4.

Q: Find the vertices and locate the foci for the following hyperbola with the given equation y2/9 -…

A: Standard equation for hyperbola with transverse axis on y- axis and center at (0,0) is given by:…

Q: If the asymptotes of the hyperbola a2 b. 1, 62 %3D intersect at right angle, then a = TRUE FALSE

A: Given: The statement "If the asymptotes of the hyperbola x2a2-y2b2=1, intersect at right angle, then…

Q: The equation of the hyperbola that has a center at (1, 5), a focus at ( – 4, 5), and a vertex at (4,…

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Q: find the equations of the asymptotes for each hyperbola. 25x2 - 16y2 = 50

A: Given: 25x2-16y2=50  ……1

Q: Find the center, foci, vertices, and asymptotes of the hyperbola. (y – 1)2 - (x + 2)? = 1 25

A: Given: The equation of hyperbola y-1225-x+22=1to find the center, foci, vertices, and asymptotes of…

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).x^2…

A: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).x^2…

Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing…

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Q: Sketch the graph and find the foci of the given hyperbola a. 25y2-4x2=16

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Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

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: find the equations of the asymptotes of each hyperbola. 16y2 - 4x2 = 17

A: To find the equations of the asymptotes of each hyperbola. 16y2 - 4x2 = 17 We rewrite the equation…

Q: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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Q: . If the center of the hyperbola is (2, 1) and c = 5, then the coordinates of the foci…

A: The general equation of conic section is Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. The standard form of the…

Q: Find the foci and vertices given by each of the following hyperboles. y^2/16-x^2/64=1

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

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). x2…

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Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

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Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: (у + 3)? 38. (x – 5)² = 1 225 64

A: The given hyperbola is y+32225-x-5264=1

Q: 18. Find the coordinates of the vertices and foci and the equations of the asymptotes for the…

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Q: Which of the following parabolas match the following graph below?

A: Given,            The graph of the parabola is shown below :

Q: Find  the centre, vertices, foci, and asymptote of the hyperbola. 4y2+32y - 5x2-10x+39=0

A: We have to find the center, vertices, foci, and asymptote of the hyperbola.…

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

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Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: Use the center, vertices, and asymptotes to graph the hyperbola. Locate the foci and find the…

A: Given equation is x+3225-y216=1. To graph the hyperbola using center, vertices and asymptotes.…

Q: Find the center, vertices, foci, eccentricity, and equation of asymptotes of the hyperbola.…

A: Given hyperbola 25y^2−9x^2−50y−54x−281=0 We will find center, vertices, foci, eccentricity, and…

Q: find the equations of the asymptotes for each hyperbola. y2 - 16x2 = 36

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Q: find the equations of the asymptotes of each hyperbola. 9y2 - 25x2 = 36

A: Given: 9y2-25x2=36 rewrite the equation in standard form. 9y236-25x236=3636y24-x21.44=1 Compare…

Q: find the equations of the asymptotes of each hyperbola. 25x2 + 100x - 4y2 + 24y - 36 = 0

A: 25x2+100x-4y2+24y-36=0 On simplification, we get…

Q: Sketch the graph and find the foci of the given hyperbola 25y2-4x2=100

A: SOLUTION-

Q: Find the product of the distances from each point on the hyperbola - = 1 to the asymptotes. a?b? A)…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.