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

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 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: Find the equation of the ellipse consisting of points P such that P F1 + P F2 = 12, where F1 = (4,…

A: Given that PF1+PF2=12, where F1=(4,0) and F2=(-2,0)

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

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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: 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: for the ellipse, 4x^(2)+y^(2)+24x-2y+21=0, one the foci is ___.

A: For the ellipse; 4x2 + y2 + 24x -2y +21 = 0 one the foci is ... Here i attached solution of this…

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 the length of major axis of the ellipse x^2+4y^2-2x-8y+1=0

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Q: Find the perimeter of the ellipse x2/a2 +y2/b2 = 1, where a > b > 0.

A: The perimeter of Ellipse with Radii a and b is given by: In our question the radii is a and b Hence…

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

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: Find the points on the ellipse 25x? + y² = 25 that are farthest away from the point (1, 0). List all…

A: Given equation of ellipse, 25x2+y2=25So, y=±25-25x2 Now distance between the points (x,y) and (1,0)=…

Q: The equation x2 + xy + y² = 1 determines an below. ellipse in the xy-plane shown

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Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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

A: 4x2+y2+24x-2y+21=0

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

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Q: Find the envelope of the family of ellipses defined by the equation x2a2+y2b2=1 provided that…

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Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: Convert the equation 25x2 + 4y2 - 150x + 32y + 189 = 0 to standard form by completing the square on…

A: Given: The equation of ellipse as 25x2+4y2-150x+32y+189=0 To find: the standard equation of ellipse,…

Q: Write the equation of the ellipse 4x + 9y² + 72x + 108y + 612 = 0 in standard form. O (*+9)² +…

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Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

A: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

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: 19. The center of the ellipse 4x2 + y2 -16x - 6y – 43 = 0 is at: %3D

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Q: Convert the general equation of the ellipse 3x^2+4y^2-6x-24y+3=0 into standard form and give the…

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Q: Convert the equation 49x2 + 16y2 + 98x - 64y - 671 = 0 to standard form by completing the square on…

A: Given equation is 49x2+6y2+98x-64y-671=0 To convert the given equation into standard from by…

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

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Q: Write the equation of the ellipse 25a? + 36y² + 150x – 72y – 639 = 0 in standard form (x – h)? (y –…

A: Wr have to write the ellipse equation in standard form .

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

Q: The eccentricity of the ellipse x2/4+y2/16=1 is:

A: Given equation of ellipse: x24+y216=1

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: 4. Evalaute fe xyds, where C is the portion of the ellipse 4 y =1 in the first 16 quadrant, oriented…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

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: The ellipse 6x² + 2x + y? = 1 has its center at the point (b, c) where b = c = The length of the…

A: The standard form of an ellipse is with (h,k) as the centre.

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: Find the center, foci, vertices, endpoints, and eccentricity for the following ellipse.…

A: Since you have posted multiple parts we solve first three parts for you  To get the solution of…

Q: Write the equation of the ellipse 9a²+ 16y² – 90x – 32y + 97 = 0 in standard form a2 (x – h)? (y –…

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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: for the ellipse, x^(2)+y^(2)+24x-2y+21=0, find the center

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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: What is the distance from the center to the foci of the ellipse given by (2-3) (y+5) 26 1? 10

A: Please refer the attached image for complete solution. THANK YOU.

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: 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: Determine the eccentricity of the ellipse given by ײ + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51…

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