Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1. (x+5)2 (y-1)2 2. += 1. 18 20

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10- 8 6…

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Q: What is the length of the major axis of the ellipse defined by the equation: x2 + 5(y – 2)2 = 5?

A: The given equation is x2+5y-22=5 To find the length of the major axis of the ellipse.

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given…

A: We have to find the focci of an ellipse

Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 8, and a vertex at…

A: Major axis can be found by using distance formula between center and vertex.

Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: x-intercepts of the ellipse are ±2 and y-intercepts are ±13. Therefore length of semi major axis is,…

Q: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

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: Find the standard form of the equation of the ellipse with the given characteristics. (5,6), (4,3),…

A: We are given the vertices as the following. (5,6), (4,3), (6,3), (5,0) Now, we have the following.

Q: Find an equation of the ellipse that has center (-5, 2), a gmjor axis of length 4, and endpoint of…

A: Equation of ellipse:x-h2a2+y-k2b2=1

Q: Find the standard equation of an ellipse if the foci are (-7, 6) and (-1, 6), the sum of the…

A: Here we have to find the standard equation of an ellipse if the foci are -7,6 and -1,6, the sum of…

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (-1, 4) and (-1,0). D=0

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Q: Find the standard form of the equation of the ellipse with the given characteristics.

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Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: Find the standard form of the equation of the ellipse with the given characteristics. y (5, -3) (3,…

A: We will find the standard form of the equation of the ellipse in the following step

Q: Find the intersection points of the pair of ellipses. (100x² + 25y² = 100 y? x2 + (х, у) %3 (smaller…

A: In this question we will use basic of algebra i.e solutions of two equation which are the point of…

Q: What are the foci of the ellipse given by the equation x2+y2−4x+9x=23?

A: Given the equation is…

Q: Find the standard form of the equation of an ellipse with foci at (-2, 0) and (2, 0) and vertices…

A: Standard form of an ellipse whose center is origin: x2a2+y2b2=1          ...(1) Where the…

Q: Consider the following equation of an ellipse. 49x2 + 25y2 - 98x + 250y - 551 = 0

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Q: What are the lengths of the major and minor axes of this ellipse x^2/6+y^2/12=1?

A: Given: The equation of ellipse is x26+y212=1. To find: The lengths of the Major axis and Minor axis.…

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: 7. Write the equation of the ellipse in standard form. 8x +32x + 4y – 8y = -4 (+2)2 4 (y+1)? =1 8 O…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 8. (6,6)…

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Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: Which of the following is the equation of a vertical ellipse with center (4,6) Major axis s = 18 and…

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Q: What are the foci of the ellipse given by (x-3 )^2/25 + ( y−1)^2/9 = 1 ?

A: By using standard form and ellipse, we calculate the foci of an ellipse.

Q: y 10- 8 (6,6) 6 4 (5,3) (7,3) 2 (6,0) X 4 6. 8 10 2.

A: Ellipse standard equation

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (2, 3) and (-6, 3).

A: Let us find the equation of ellipse when major axis & foci are given.

Q: Find the equation of the ellipse whose graph is shown below. 2 1- (-1,0) -3 -2 2 -1 (0, -2) -2 O…

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Q: Find an equation of the ellipse that has center (0, -4), a minor axis of length 4, and a vertex at…

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Q: Hi I am in need of assistance as to how to solve this practice problem.

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 6) and (-2, 0).

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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: Find the standard form of the equation of the ellipse with the given characteristics  (1,3) (3,3)…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Given,

Q: Find the standard form of the equation of ellipse satisfying the given conditions as Foci: (-2, 0),…

A: Given that the coordinates of foci of ellipse are (-2,0), (2,0)  and coordinates of vertices are…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (3, 5) and (3, 1).

A: This is solved in this way

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

A: The general form is,                            (x-c)2/a2 + (y-d)2/b2  =1. Where (c,d) is centre of…

Q: 1 -1 (5, –4) (3, –5) (7, –5) (5, –6)

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Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x +…

A: We have to find the equation of ellipse

Q: (4, 5.5) 5 --3 2 -1 0 2 3 5 6 8 9 -2 V (4,-3.5) 2.

A: From the given diagram, Center (h,k)=((4+4)/2 , (5.5-3.5)/2)                    =(4,1) Length of…

Q: What are the foci of the ellipse given by the equation x^2+y^2−4x+9x=23

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Q: Determine endpoints of the major and of the minor axes of the ellipse described by the equation…

A: standard form of an ellipse is, (x-h)2a2+y-k2b2=1 where (h, k) is the center of ellipse, end-points…

Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a vertex at…

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Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (5, -1) and (-1, -1).…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. У х -1 (2, –2)…

A: Center is the midpoint of the vertices (0,-3) and (4,-3) Center = (h,k)= (2,-3)