Find the standard form of equation of an ellipse and determine the center, major axis, a and b. 1. 64x² + 49y² - 3136 = 0 2. x? - 4x + 36y² - 32 = 0 3. 4x? + 25y? + 150y + 125 = 0 II.

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A: Concept- we can find equation of oscillating circle with the help of parametric equation.

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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

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A: The standard form of an ellipse is [(x – c1)2 / a2 ] + [(y- c2)2 / b2 ] = 1 Where (x, y) –…

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

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Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

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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: the equation of the ellipse is given by 4x^(2)+9y^(2)+24x-18y+9=0.find its center,semi axis,and the…

A: Given equation, 4x2+9y2+24x-18y+9=0                         ...(1)

Q: Find the standard form of the ellipse given below in general form. x2 – 2x + 4y2 + 24y + 33 = 0

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Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),…

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3,…

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

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Q: Write in standard form the equation of the ellipse with the given characteristics. center at the…

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Q: 20. Which is the equation of an ellipse? a) 25 y² 3D1 16 b) x2 + y2 =1 %3D c) 25 x² y2 =D 1 %3D 16…

A: 20)

Q: Find the center and foci of the ellipse. (x+5) (y+9)² = 1 %3D

A: The given ellipse equation,(x+5)25+(y+9)29=1

Q: Find the equation of the vertical ellipse that is centered at ( 16, 24), passes through the point (…

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Q: Determine if 9x + 25y² = 225 is an ellipse. %3D O Not an Ellipse Ellipse, we can write the equation…

A: Given  equation,        9x2+25y2=225

Q: Write an equation of an ellipse with the center (2, -4 ), and with a vertical major axis of length…

A: General equation of ellipse having vertical major axis is given by÷   x-h2b2+y-k2a2=1 Where,…

Q: Express the equation of an ellipse 16x² +9y² – 64x-54y+1=0 in standard form. Hence, find the centre,…

A: The standard form of equation of ellipse is x-x02a2+y-y02b2=1 and eccentricity of ellipse is…

Q: 6. Find the center of the ellipse with equation 2x² + 3y² + 8x + 6y - 1 = 0 b. (2, -1) а. (2, 1) с.…

A: We will solve the problem.

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

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

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Q: Draw the ellipse with the equation: 2x2 + y2 + 4x − 9y = 7

A: Given, The equation of the ellipse :  2x2 + y2 + 4x − 9y - 7 = 0…

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: Write the equation of an ellipse in standard form. 4x2 + 24x + 25y² – 200y + 336 = 0 Identify the…

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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: 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: What is the standard form equation of the ellipse that has vertices (–14, 3) and (6, 3) and…

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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: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

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Q: Given the ellipse 16x2 + 25y2 – 64x – 50y – 311 = 0, determine its center. a. (1,2)             b.…

A: Note that the standard form of the equation of the ellipse is given by: (x-h)2a2+(y-k)2b2=1...(1)…

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 the equation of the ellipse that will just fit inside a box that is 8 units wide and 6 units…

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Q: (x – 2)2 (y – 4)² 1 9. 25 defines an ellipse with center ( ). The major axis has length and the…

A: The standard form of the equation of an ellipse having vertical major axis is

Q: Find the center of the ellipse given by x² – 2x + 2y? - 12y +3 0. Enter as an ordered pair without…

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Q: Find the length of the major axis of the ellipse 3x2 - 12x + 5y2 + 10y - 10 = 0.

A: Given equation of ellipse is 3x2-12x+5y2+10y-10=0. Sketch the above ellipse as shown below.

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: What is the standard equation of an ellipse if the length of its major axis is 6 inches parallel to…

A: Given:- Length of its major axis is 6 inches parallel to x-axis and minor axis is 4 inches and its…

Q: What is the standard form of the ellipse whose equation is 8z+6y+16z - 3y+4 0? Drag an expression…

A: Solved below

Q: 2. What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co-…

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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…

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Q: Find the equation of the ellipse that will just fit inside a box that is 12 units wide and 4 units…

A: See attached file for a step by step explanation.

Q: Determine if 4æ? + 25y² = 1 is an ellipse. Ellipse O Not an Ellipse (x – h)? + a² (y – k)? If it is…

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Q: Find the foci of the ellipse (x+1)² (y+5) ² 28 23 + =1

A: We can find the foci in the below steps.

Q: The ellipse 15x^2+2x+y^2=1 has its center at the point (b,c) where b = c=

A: To find the center at the point b, c of the ellipse,15x2+2x+y2=1b=?c=?

Q: Give the coordinates of the center, vertices, covertices and foci of the ellipse with the given…

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Q: Write an equation for the ellipse. foci at (-3, -1), (-3, -7); major axis length of 10 (+ 42 (x -…

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