What are the asymptotes of the hyperbola 9æ? – 4y? – 18æ + 24y + 9 = 0 O (y – 3) = +(x – 1) ㅇ (y-3) = ±흙(- 1) O (y + 3) = ±( + 1) O (y + 3) = ±(x +1)

Q: The following hyperbolas are confocal: x2/4 –y2/8 =1 and x2/6 –y2/k =1. What is the value of k

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Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

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Q: Consider the hyperbola 85.3166x² – 4y² = 1365.07. -

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

Q: The equations of asymptotes of the hyperbola 49 (y -8)² - 36 ( x - 4)² = 1764 are Select one:…

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Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

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Q: 1. What are the asymptotes of the hyperbola given by the equation 1296y – a2 = 81? O y = + x O y = +…

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Q: A line r will be tangent to a hyperbola H if the intersection between r and H consists of a single…

A: Given the equation of hyperbola    25x2-16y2=400 and the equation of a tangent line is  y=mx-1

Q: Show that the image of the hyperbola x² - y² = 1 is the transiscate p² = cos24.

A: Introduction: An hyperbola is another significant conic section. It has Cartesian as well as polar…

Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

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Q: 9. Find the equations of the asymptotes of the hyperbola. -4x +49,y? – 8x- 294y+241=0 [A]…

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Q: Sketch the two families of hyperbolas, the curves xy = k, for various real k and the curves x2 – y2…

A: In this problem, by sketching both curves we can prove whether the curves are orthogonal or not.…

Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: a. If a chord of the parabola y² = 4ax a normal at one of its ends, show that its mid- %3D y?, 8a3…

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Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0…

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: Find the asymptodes of Hx)= x²- 5x+6 the funchion given below X-2

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Q: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: 3. Find an equation of the hyperbola with vertices at (3, 0) and (3, 4) and the equations of the…

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Q: The equations of asymptotes of the hyperbola 25 ( y -2)² - 16 ( x - 2 )² = 400 are Select one: None…

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Q: The graph of the surface z2-x²-2y2--12x+36 is Oa hyperboloid of one sheet a hyperbolold of two…

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Q: The equations of asymptotes of the hyperbola 64 (y-5)2 - 49 ( x - 7 )² = 3136 are Select one: O 64…

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Q: 4) Consider the images of the hyperbolas r - y = ±c? under the mapping f(2) = 22, where c > 0. Show…

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Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: 3. Find an equation of the hyperbola with vertices at (3. 0) and (3, 4) and the equations of the…

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Q: 5. An elliptic cone with an ellipse trace parallel to yz-plane, A. Has a hyperbola trace in both xz-…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Determine the asymptotes of the hyperbola, which is centered at  (x, y) = (5, 9). 4(x − 5)2 − 9(y −…

A: Asymptotes to the hyperbola given by (x-p)2a2+(y-q)2b2=1 are  (y-q)=-ba(x-p)           and…

Q: Find an equation of the hyperbola with vertices (0,+-9) and asymptotes y=+-x/3

A: Given

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

A: first we have to draw the sketch of y = 1-x2 and draw a rectangle beneath it From the graph we can…

Q: 4. Determine whether a hyperbola exists if it has an equation of x2 - y2 + 6x +36y = 18.

A: we have to determine whether a hyperbola exists if it has an equation of  x2-y2+6x+36y=18

Q: The equatione of aeymptotes of the hyperbola 16 (y-3)2-9(x-4)2-144 are Select one: O 9(y-3) = + 16…

A: We have to find the equation of asymptote for the given hyperbola . Since the given hyperbola is…

Q: IV. Name the conic section, based on the equation. x²+y +333x+444y+777 =0 3x + 2y? +12x- 4y+2=0…

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Q: Find the asymptotes of the hyperbola. (x- 2)? (y-42 = 1 16 %3D 9. 4 4 O A. y=(x-2) and y= -(x-2) 3 3…

A: Given:        x-229-y-4216=1

Q: History of math question dealing with projective geometry need help on please

A: To identify the lines corresponding to the two points at infinity of the given hyperpola

Q: I noticed that depending on the values for A and C,assuming that they are not both zero, the graph…

A: Depending on the values for A and C, assuming that they are not both zero, the graph of Ax2 + Cy2 +…

Q: Prove the following theorem of Apollonius of Perga (the Greek mathematician born in 262 bce who…

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: It has been shown that when like particles with a common charge are hurled at each other, they…

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Q: The equations of asymptotes of the hyperbola 16 (y-8)2-9(x-4)? = 144 are Select one: O None O 16…

A: GivenHyperbola equation 16(y-8)2-9(x-4)2=144 Divide both side of the equation with 144 we get that…

Q: Given a hyperbola with the implicit equation: (y – 2) (x +2)² %3D 9. 25 Choose BOTH slopes of its…

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Q: Find the ODE of the family of hyperbola center at the origin.

A: Find the ODE of the family of hyperbola center at the origin.

Q: A. 5. An elliptic cone with an ellipse trace parallel to yz-plane, Has a hyperbola trace in both xz-…

A: Introduction: The trace is very important to sketch a curve in three dimensional Euclidean space.…

Q: And identify what conic section  -x^2+4y^2-8y-96=0

A: Given -x2+4y2-8y-96=0

Q: The vertex of the parabola f(z) = z² + 18z + 7 is %3D о (-18, -54) O (-9,-67) о (-9, -74) о (-18,…

A: The given parabola equation is f(x) = x2 + 18x + 7

Q: 12. Find the equations of the asymptotes of the hyperbola. -4x +y² +16x – 2 y-51=0 [A] Asymptotes: y…

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Q: 1一 The equations of asymptotes of the hyperbola y=2+x-1 are Select one: None y= ±2x y= ±x y32+x

A: Giveny=2±x2-1

Q: Find the area of the fundamental rectangle of the hyperbola. x2 − y2 − 6x − 8y = 8

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Q: The parabola x² - 2x + 2y + 7 = 0, has a vertex at (1,3). O(-1,3). O (-1,-3). O (1,-3).

A: Suppose the equation of a parabola is of the form  y=ax2+bx+c where a, b and c are constants. The…