Which of the following is the standard equation of the ellipse with vertices at (1.0) and (11,0) and an eccentricity of O(x-6)²² 100 64 1 (x+67² +1 -1 64 100 0 (x+67²-1 16 25 ○ (x-6)²²- 1 25 16 31166

Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: (x-1)^2/81 + (x+2)^2/36 =1 parametrize the ellipse and include the interval for t

A: See the pic

Q: Write an orthogonal change of coordinates converting the equation of the conic 3x2+3y +3z+2ry+2rz…

A: Given equation , 3x² + 3y² + 3z² + 2xy + 2xz+2yz = 1

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy +…

A: To find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy…

Q: 3 r +6 -을V16-(y-2)2

A: Topic - conics

Q: Write the equation of the ellipse centered at the origin with a vertex at (-6, 0) and a co-vertex at…

A: A detailed solution is given below.

Q: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given:…

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Match each equation with the type of conic section it represents. 1. y = -3/2x - 6…

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Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

A:

Q: An object is observed travelling in a hyperbolic trajectory with the sun at one focus of the…

A: Given information:  1. Sun is one of the focus of hyperbola . 2. The Sun co-ordinate is 0,0.…

Q: (b) Given ra 1-2 sin 0 equation of the conic Find the distances from the pole to the vertices and…

A: The given polar curve is  r=41-2sinθ. To Find: Distance from the poles to the vertices. To Find:…

Q: Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A:

Q: What is the standard form equation of the ellipse that has vertices (0, ±12) and foci (0, ±2)?

A: We know that the standard equation of the ellipse is (x-h)^2/b^2+(y-k)^2/a^2=1

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: Find the equation of the following conic in GENERAL form. V (3, -2), ends of latus rectum (-2, ½)…

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Q: graph of each hy

A: Here we have to graph the (x+1)29-(y-2)21=1 ..............................(1)…

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.