Select the correct answer. Which hyperbola's asymptote rectangle has the greatest perimeter? O A. (- 4)2 (y + 2)2 =1 112 32 O B. (1 – 2)2 (y + 1) =1 42 102 O C. ( + 5)2 (y – 3)2 52 92 = 1 O D. (I – 7)2 (y – 2)2 82 =1 72 3.

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: What is the standard form equation of the hyperbola that has vertices (0, +4) and foci (0, +2/1…

A: Here we have vertices of the hyperbola (0,±4) and foci 0,±213

Q: Find the asymptotes of the hyperbola. y^2-x^2=4

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Q: y? Determine if 16 = 1 is a hyperbola and if it is, which type it is. The transverse axis is 4

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Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

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

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Q: Given the graph of a hyperbola and its asymptotes , Find the equation of this hyperbola -8 -7 -6 -5…

A: The standard form of the equation of a hyperbola with center at and transverse axis on the y-axis…

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Find the focus of the parabola y2 - 8x + 4y + 28 = 0. Select one: O a. (5, - 2) O b. (3, - 2) O c.…

A: We have to find the focus of the parabola

Q: Select the correct answer. Which equation represents the hyperbola that has its foci farthest from…

A: we know that if distance between two foci are greater then distance between foci and center is also…

Q: Graph the hyperbola on paper, and then choose the correct graph. A. В. 4x? - 16y? = 64 Q 10- Choose…

A: Given information: The equation of the hyperbola is 4x2-16y2=64. Explanation: The standard equation…

Q: Which way does the parabola open? (x+ 3 =4 y + 5). h drwn e laft d ninht aun

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Q: What are the coordinates of the vertices of the hyperbola? (z+4) (y-5)? = 1 25 4 Enter your answer…

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Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.

Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

Q: (y + 3)? (x - 5)² = 1 225 64

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Q: Which of the following coordinates of the vertices and foci satisfy a rectangular hyperbola where…

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Q: -10 10 -6 y? = 1. 62 Identify a and b for the hyperbola with equation - a = b = 6 3.

A: Given, The graph of the  hyperbola  The equation of the hyperbola is x2a2-y2b2=1  We have to find…

Q: What is the center of the hyperbola? (y+3)? 9. (x-2)2 =D1 2 Enter your answer by filling in the…

A:

Q: 8: Which one of the following conics is a parabola? 22 + y + 5 = 4æ B 222 + y? = 4x +4 4r – 9y? +…

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Q: Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4).and the length of its…

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Q: (у + 3т)? (г — 2m)? 5m2 One of the foci of the hyperbola with equation %3D 9m2 with m > 0, is the…

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Q: C'enter of the hyperbola x? + 4y? + 6xy + 8x 2y + 7 = 0 is - A. (1, 1) В. (0, 2) С. (2,0) D. None of…

A: Given: x2+4y2+6xy+8x-2y+7=0 To Find: Center of Hyperbola Concept: Let the equation of the hyperbola…

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: Find the vertices and foci of the hyperbola below. (x + 1)² (y – 1)? 1 - 25 11

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Q: (a) Find the evolute of the hyperbola x2 _y? y? =D1 a? b2

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Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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Q: Consider the hyperbola of equation: (x – h)² (y – k)2 a2 62 whose foci are (-3, 2) and (9, 2), and…

A: First find distance between foci Then use formula

Q: 4. Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and…

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Q: The asymptote of the hyperbola given by -=1 has the equation x2_ y? 4 2x – 3y = 0 3x – 2y = 0 Option…

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Q: Give the coordinates of the center, foci, vertices, and the asymptotes of the hyperbola with the…

A: y+2215- x+3210=1   ( b²=15, a²=10) Centre:  ( -3, -2 ) Eccentricity of hyperbola = e =…

Q: The equation of the hyperbola whose foci are (V5, 1) and (-V5, 1) and one asymptote y –1= 2x is…

A: Given: Foci=(5,1),(-5,1) Asymptote=y-1=2x

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: What are the foci and directrices of the following hyperbola?  36x^2 −49y^2 −100 = 0

A: We have to find the foci and directric of hyperbola

Q: Compute the angle between the asymptotes of the hyperbola 5y² - 4x² + 40y + 60 = 0 Select one: O a.…

A:

Q: The location of the focus of the parabola x2 – 6x – 12y – 51 = 0  is at a. (2, -3)           b.…

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Q: Write the reduced hyperbole equation, given: a) The foci ( ± 5.0), and the length L=9/2 of the rope…

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Q: Graph the hyperbola 4x2 - y2 + 8x + 6y + 11 = 0. Give the location of the foci and the equations of…

A: Given equation of hyperbola is 4x2-y2+8x+6y+11=0. Given equation can be re-written as:…

Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5),…

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,…

Q: All the chords of the hyperbola 3x² – y² – 2x + subtending a right angle at the origin, pass thr…

A: Introduction: A rectangular hyperbola can be defined in a number of different ways. We can use any…

Q: Which one of the following conics is a parabola? A 2 +y+5 = 4x B 22 + 3 = 4x +4 C 47 – 9y? + 32x –…

A: Any equation of the form Ax2+Bxy+Cy2+Dx+Ey+F = 0 , then it forms a parabola if and only if A = 0 or…

Q: Find an equation in standard form for the hyperbola with foci at(+8, 0), transverse axis with length…

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Q: The equation of the hyperbola whose foci are (0, 6) and (0,-4) and -1= 2z is Select one: (y-1)2 20 =…

A: Here we have to find the equation of the hyperbola, Whose foci are (0,6) and (0,-4), and asymptote…

Q: 5. Which line is the vertical asymptote for the hyperbola y = ( -7x - 2)/( 2x + 5 ) y = - 7/2 Ox =…

A: A rational function will have the vertical asymptote which is putting its denominator equal to 0…

Q: The equation of the shown hyperbola is given by Fou Fou Select one: (x– 1)? _ (v+2}? , 9. 5 (y+2}? _…

A: Explanation of the answer is as follows

Q: 25. What is the standard equation of the hyperbola whose foci are F1(-4v2, 0) and F2(4V2, 0), such…

A: Given:     Foci are F1-42,0 and F242,0      The standard form of the equation of a hyperbola is…

Q: Find the equation of the Hyperbola with Foci at (6.6). (6.30) and the vertices at (6, 12). (6, 24).…

A:

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

A: