Solve the problem below. An ellipse is centered at the origin and its major axis is on the x-axis. What 1 paintis the equation of the ellipse if it passes through points (1,2) and (3,1)?8x2 +3y2 353x2 + 8y2 = 1!!%3DOption 1Oprion 23x2 + 8y2 358x2 + 3y2 = 1%DOption 3Oprion 4

Answered: (1,2) and (3,1)?

Math

Geometry

(1,2) and (3,1)?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.2: The Ellipse

Problem 67E: The distance between point P(x,y) and the point (0,2) is 13 of the distance of point P from the line...

See similar textbooks

Related questions

Q: 3/Sx+9 ニ 3x +13

Q: Solve the equation 22-z = 16 2 %3D O a. x = -4 O b. x= 0 OCx= 2 O d. x= -2

A: Use ln in both sides we get.

Q: 2r+s-3 X+1 X-2

A: At first we take least common multiple of the denominators then after cross multiplying the equation…

Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7 r2 =49 let x= 7 cos(theta) y=7 sin(theta)

Q: 17 デャササー 2ず+yャ=0

Q: Solve the equation cosh⁡z=-i

Q: Solve the equations Eyls 2y ト>。

Q: 2y

Q: Solve the equation for i:A = P( 1+ i ) ^ n

A: Given problem is

Q: Solve the equation z² + (2i – 3)z + 5 – i = 0 %3D

Q: (b) Find all solutions z to the equation e = -2 – 2i.

A: (b) Given- eiz=-2-2i To Find- All solutions of z to the above equation. Identity Used-…

Q: (i) Find all solutions to the equation 23 = i.

Q: Solve the equations: (3) z* = 4 + j3

Q: Find the general solution af the equation, y' = x(1- y).

Q: 5) 3- OD +16) y= e

Q: z? + Z1Z + Z2 = 0.

A: The given equation is a quadratic in z therefore comparing with az2+bz+z=0 , the solution is given…

Q: Solve the following Equation (z + 2) = 3i

A: The explanation are as follows

Q: Solve the equation: 2cos2 x + 3sin x = 0, 0 ≤ x < 2π.

A: The equation is 2cos2x+3sin x=0. Substitute 1-sin2x for cos2x and simplify. Therefore,…

Q: Solve the given equation for which 0 <0 < 2t. Given that 3 csc -6 = 0. Show your step-by-step…

Q: 3; x² + (c - 1)x + 2c:- 1}, solve the value(s) o

Q: Create an equation to solve for the midsegment of the trapezoid: 2(midsegment) = base1 + base X- 6…

Q: Solve: 4|x + 2| + 4 > 10 The answer has form: Ox B OA<x< B Where A = and B =

Q: Solve: –1 < 5x – 1< 3 The answer has form: A < x < B Where A = and B =

Q: xy²Zxy=O ? find these equations with Jacabien メーコ-3 method first, Points > X=2 4.=3

A: We are given the following equations. xy2-2xy=0 -------(1)x-y=3 -------(2) We need to…

Q: 2х- 5 3y-5 16 6x + 7 D. Solve for x and y: A.

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: 4x1 + X3 7 7x, + 2x, = -2 + 4x3 = 11 %3D 3x1

A: First we solve this by Gauss siedal method and then solve by Gauss Jacobi method.

Q: 4. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTIONS. x² (y')° = 2y² – xyy' -

Q: Solve the follow stem हिडन्छ -5 =11 3x + %3D

A: We can solve the system by using the elimination method. In elimination method, we can add two…

Q: lect the solution(s) of 2 =1– %3D I+3

Q: |2x+ 1|= 5 %3D If a and b are the solutions to the equation above, what is the value of a - b|?

A: Given 2x+1=5 and a, b are the solutions.

Q: A. Solve the following equations: 1. (D2 + 2D - 1)y = 0

Q: A. Solve the following equations: 5. y" - 9y = 0 with x = 0, y = 0 and y'=3

A: Consider the provided differential equation, y''-9y=0 And the provided initial value is y0=0 and…

Q: у" - 4у 3D -7е2х + х; у(0) %3D 1, у((0) — 3

Q: Solve the equation: 4cos^2 x -1=0

A: Factories the given equation and solve.

Q: 4. Solve the equation z3 + 8i = 0

Q: 3.t+y=t²y²

A: Given tdydt+y=t2y2

Q: Find the solutions of the equation.

A: Given: The equation z2=z2, To find: The solution of given complex equation.

Q: Solve: 2| + 1| + 2 > 4 The answer has form: OxB OA<x<B

A: Using absolute value property we calculate the given inequality.

Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

Q: the general solution of the differantial equation х?у" — 2ху' + 2y 3D 2х3е*

Q: Solve the simultaneous equations. You must show all your working. y = 2 2х — у 3D 1

A: The equations that share common variables are called the simultaneous equations. The simultaneous…

Q: Q3. Solve the equation: z* + (1 + i)z² + i = 0. (z + 2)2 = -8 + 6i %3D

Q: i) Solve the following first degree equations. a) (x+6) _(5_2x) + 2 = 0

A: Let us consider the first degree equation ax+b=0 To simplify the equation Rewrite the equation by…

Q: 1) Solve the following equations for x: a) 2e6x = 18 b) = 1 c) 2* = e5 e +²

Q: the Pollowing D-E Solve +4Cy -1)x %3D

Q: Find all 'a' belongs to R that the given equation does not have solution: 2ax-12x+a+22=0

A: Given, ax-12x+a+22=0

Q: 3. Solve the following equation 5 14 0. X+ 18 %3D x-3 A) -3, 18, -5, -14 B) -3, 18 9 3, -18 D)…

A: We have to find solution

Q: Solve the equation. 1 %3D 11 c0 |N O |N

Question

Solve the problem below.

An ellipse is centered at the origin and its major axis is on the x-axis. What 1 paint
is the equation of the ellipse if it passes through points (1,2) and (3,1)?
8x2 +3y2 35
3x2 + 8y2 = 1
!!
%3D
Option 1
Oprion 2
3x2 + 8y2 35
8x2 + 3y2 = 1
%D
Option 3
Oprion 4

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and F2 called foci is constant. In the grid provided, find points whose sum of distances from points F13, 0 and F2-3, 0 is 10. That is, locate some points for which PF1+PF2=10; point P5, 0 is one such point. Then sketch the ellipse.
An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed points F1 and F2 is constant. The points F1 and F2 are called the ____ of the ellipse.
Find the standard form of the equation of the ellipse with vertices(0,2) and (8,2) and minor axis of length 4. Then find the eccentricity of the ellipse.
Find an equation for the ellipse with center (2, 0), foci (2,3) and major axis of length 8.
The distance between point P(x,y) and the point (0,2) is 13 of the distance of point P from the line y=18. Find an equation in standard form of the ellipse on which point P lies.