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

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. vertices…

A: Given:Vertices of major axis: (-2,12) and (-2,4)Length of minor axis is 4

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 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: 20) Write the equation of the ellipse 4x +9y +24x 162y + 729 = 0 in standard form and then graph the…

A: Given the equation of the ellipse, 4x2+9y2+24x-162y+729=0

Q: Write an equation for the ellipse. Ay 2,3) X ..... Type the left side of the equation in the box…

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Q: Rewrite the equation of the ellipse 9x2 + 4y? + 36x – 24y + 36 = 0 in standard form and identify the

A: The standard equation of an ellipse with the center at (h,k), and the major and the minor axes being…

Q: Find the focus and directrix of the parabola. 2y2 + 2x + 20y + 52 = 0

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Q: 2. Put this ellipse in standard form: 4x2 + 6y2 = 48

A: Consider the provided equation, 4x2+6y2=48 The equation write in the standard form. The standard…

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

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Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: Find the center, foci, vertices of the ellipse and sketch its graph 9x^2+4y^2+36x-24y+36=0

A: the equation of an ellipse is given in standard form: (x−h)2/a2+(y−k)2/b2=1

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: Convert the equation 4x2 + 9y2 - 32x + 36y + 64 = 0 to standard form by completing the square on x…

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Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y? + 4x = 36 and…

A: Given :-  An equation for the ellipse that shares a vertex and focus with the parabola y2 + 4x = 36…

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: Convert the equation 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: 4x2+y2-24x+6y+9=0

Q: Determine if 4x? + 9y² – 16x + 90y + 205 = 0 is an ellipse. ONot an Ellipse Ellipse, we can write…

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Q: Determine if 252? + 16y² = 1 is an ellipse. O Not an Ellipse Ellipse, we can write the equation of…

A: Given equation can be written as Which is the equation of ellipse. Comparing it with  We get

Q: The area of the ellipse is given as A = ab. Find the area of the ellipse 25x² +16y² - 100x + 32y =…

A: given equation of ellispe 25x2+16y2-100x+32y=284

Q: for the ellipse 4x^(2) +y^(2) +24x -2y +21 = 0, find its area

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Q: 0 = 3x2 – 6x+4y² – 16y+18 is an ellipse. True False

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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: The foci of the ellipse with given equation y2 = 1 are 36 x2 25

A: The given ellipse has mjor axis along y axis.

Q: The ellipse given by the equation 30x^2+5y^2+40y=120x-50 The center is: ? It has foco at: ? and ?…

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Q: Convert the equation 4x2 + 25y2 - 24x + 100y + 36 = 0 to standard form by completing the square on x…

A: Given: 4x2+25y2-24x+100y+36=0 for converting given expression in standard form, we simplify it so,…

Q: Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation:…

A: The general equation of an ellipse centered at (h,k), and with major and minor axis of length 2a and…

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: (b) Find the evolute of the ellipse x2 y? =D1

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Q: Determine if 36x² 36 is an ellipse. Ellipse O Not an Ellipse (x – h)² (y – k)² If it is an ellipse,…

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Q: Find the equation in standard form of the ellipse whose foci are F1(-8, and F2(8, 0), such that for…

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Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

Q: Find the endpoints of the minor axis and the foci of the given ellipse  16x2+9y2+36y-108=0

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Q: Write the equation of the ellipse 36æ² + 4y? + 72x + 32y – 44 = 0 in standard form (x – h)? p2 (y –…

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Q: Determine if 4x² + 9y? = 1 is an ellipse. Ellipse O Not an Ellipse If it is an ellipse, write the…

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Q: Let 49x + 25y 2- 294x - 250y- 159 = 0 (2 – h) (y – k)? = 1. - - then write the ellipse in standard…

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Q: foci and eccentricity of the ellipse. 9x2+4?2−18x+8y−23=0

A: Introduction: The center, vertices, foci ad eccentricity of the ellipse (x-h)2a2+(y-k)2b2=1 is given…

Q: Q2) Put the equation (3x2 + (y – 2)2 = 3) in standard form and sketch the ellipse

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Q: 13. Find the standard form of the equation of the ellipse satisfying the following conditions: Foci:…

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Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: Find an equation of the ellipse with vertices (±4, 0) and foci (+2,0). (A 16 y2 = 1 12 B = 1 16 y2 =…

A: Topic:- ellipse equation

Q: 9x2 - 18x + 4y +8y = 23 defines an ellipse with center ( 1 -1 ). The major axis has length and the…

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Q: 5. What is the standard-form equation of the ellipse shown? -2- x2 1 25 %3D 16 1 %3D x2 25 1 16 O x2…

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Q: Convert the equation 9x2 + 16y2 - 18x + 64y - 71 = 0 to standard form by completing the square on x…

A: Given equation is: 9x2 + 16y2 - 18x + 64y - 71 = 0 (9x2 - 18x) + (16y2 + 64y) - 71 = 0 (9x2 - 18x +…

Q: Given the ellipse 16x2 + 25y2 – 64x – 50y – 311 = 0, determine its center.

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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: The equation of the shown ellipse is -1 Select one: O a. x? + 16y² – 32y- 15=0 O b. x2 - 2x+…

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Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

Q: 9x2 – 18x + 4y² + 8y defines an ellipse with center ( E ). The major axis has length and the minor…

A: To Determine: Center and major & minor axis of ellipse :…

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

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