1. What is the equation of this ellipse? -5 --5 10 O (2+2)? (y+4)° 1 81 O 부+ (y 4) 1 -2)2 81 O + = 1 O (z+2)* (y+4)? 1 %3D 81

Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

Q: 3. What is the length of the minor axis of the ellipse given by the equation s + = 1? %3D 169 64…

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Q: What is the eccentricity of an ellipse 9x2+y2+18x-12y-180=0

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Q: What are the foci of the ellipse? 49 42 O (2+ v7, 1) o (2+ 7, -1) o (tyī, 1) o (12/7, - 1)

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Q: A sealed-beam headlight is in the shape of a paraboloid of revolution (parabolic shaped). The bulb,…

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Q: x + xy + y? = 9 %3D sa slanted ellipse illustrated in this figure: 1 – 4 -2 2.

A: Given that x2+xy+y2=9 Differentiate w.r.t x , 2x+y+xy'+2yy'=0 y'=-2x+yx+2y Now, differentiate w.r.t.…

Q: Write the equation of the ellipse 16x? + + 4y“ + 64x + 32y + 64 = 0 in standard form h)? (x (y – k)²…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Foci: (0,0),…

A: Since foci lie on y-axis, so the ellipse is of type where (h,k) is center of ellipse and 2a is…

Q: Write an equation for the ellipse centered at the origin with a major axis 14 units long with…

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Q: Use the properties of an ellipse to show that your equation from question 3 has the appropriate…

A: An ellipse is the set of all points (x,y) in a plane such that the sum of their distances from two…

Q: Consider the ellipse defined by the equation x^2/81+y^2/9=1. What is the maximum area of a rectangle…

A: Given that the ellipse defined by the equation x^2/81+y^2/9=1. What is the maximum area of a…

Q: 6. What is the equation for the slope of the ellipse+= 1 at (x₁, yi)? A. B. C. D. E. y' = y' = b²y₁…

A: We have to find the equation of the slope of ellipse at the point (x1,y1).

Q: 4. §yʻ dz + 2ry³ dy, where C is the ellipse z + 2y? = 2.

A: To Determine: find the integral  Given: ∮y4dx+2xy3dy where C is the ellipse x2+2y2=2 Explanation: we…

Q: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

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

Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: 3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22…

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Q: What conic section is described by the following equation? 4.x2 + y? + 8x + 4y = 15 O Parabola O…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

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Q: What is the equation of the standard ellipse with vertices at (±a,0) anc Choose the correct answer…

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Q: What is the standard form of the ellipse whose equation is 4z +3y-16z + 9y+16 -0? Drag an expression…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 2 N 4…

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Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?,…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…

A: Solution is here

Q: I. Find the standard equation of the ellipse which satisfies the given conditions. 4. covertices…

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Which conic section is represented by the equation 9a? + 4y? = 36. O Parabola O Ellipse O Circle O…

A: Standard form of an ellipse is defined by : x-h2b2+y-k2a2=1.

Q: What is the general form of equation of an ellipse if its center is at (3, 1), a = 4, b = 3 and its…

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Q: Find the maximum and minimum values of the function f(, y) = xy on the ellipse given %3D y? by the…

A: Given :  The function f ( x, y ) = x y and the ellipse  x2 + y24 = 1.   To determine :  The maximum…

Q: Given the ellipse (z- 4)2, (y+3)² 144 16 what are the vertices and co-vertices of the ellipse?

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Q: 14. Evaluate [4x dæ + 5y“ dy if C is the portion of the ellipse 3x2 + 7y? = 21 in the first…

A: Explanation of the solution is given below....

Q: Consider the following. У 2 1- -3 -1 3 4 -1 -2 Find an equation of the ellipse. Find its foci. (х,…

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Q: What is the equation of the standard hyperbola with vertices at (0, t a) and foci at (0, ± c)?…

A: Option B is correct.

Q: Write the equation of the ellipse 36x2 + 16y² – 216x + 160y + 148 = 0 in standard form %3D (x – h)?…

A: 36x2+16y2-216x+160y+148=036x2-216x+16y2+160y=-14836(x2-6x)+16(y2+10y)=-14836(x2-6x+9)+16(y2+10y+25)=…

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 1아 (7,8) 8…

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Q: |The length of the latus rectum of the ellipse defined by 25x²+9y² – 300x – 144 y + 1251 = 0 is А.…

A: To find  The length of the latus rectum of the given ellipse.

Q: 1 Jl جمح The ellipse (4-x) a? (y-k)? = 1 is vertical a. a > b b. a < b +

A: To find the correct option

Q: Which of these is the equation of an ellipse with a minor axis 6 units long and a major axis 14…

A: By using equation of ellipse formula, we find the required equation of ellipse

Q: Determine the standard equation of the ellipse that satisfies the given properties: 16 3, horizontal…

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Q: What will be the equation of the ellipse with a center at the origin and passes through the points…

A: Given query is to find the equation of ellipse.

Q: I am needing assistance with the attached equation.

A: Foci = (0,0) and (0,6) So, center of it: Major axis = 12 So, 2a=12 a=6  This ellipse is vertical…

Q: 1. What is the equation of this ellipse? 5 -5 --10 = 1 O (#+2)° + (+4)° = 1 81 O -2)° (y–4)° = 1 81…

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Q: Consider the equation of an ellipse written in terms of x and y as 13 z? + 8 yz + 7 y² = 1 a. Find…

A: Note:- For a non singular square matrix A,  A = PT D P  Here, P is orthogonal matrix that is, P-1 =…

Q: . The general form of equation of an ellipse is given by Ax + Cy + Dx + Ey +F = 0, where A and C are…

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Q: The equation of the ellipse that has a center at (4, 1), a focus at (0, 1), and a vertex at (– 1,…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

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Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

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Q: What is the distance from the y-axis to the focus of the hyperbola whose equation is (y – 1)? –…

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Q: Answer the following True or False: (x + 1)² Let (y + 8)? + + 8)? = 1 a2 62 be the equation of an…

A: SOLUTION: (x+1)^2/a^2+(y+8)^2/b^2=1 center=(-1, -8) but in question given center=(1,8) hence false

Q: Evaluate –dz , where C is the ellipse 4x² + 9y? = 1. %3D Yc z2 – 3z+2

A: Given: The equation: ∮C z3 + z + 1z2 - 3z +2dz Here C - ellipse of 4x2 + 9y2 = 1

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.