Given three distinct points on a circle (x 1 , y 1 ), (x 2 , y

Question:

Given three distinct points on a circle (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can find the equation of the circle by using the following 4 x 4 determinant equation.

Find the equation of the circle through the given points.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Algebra With Modeling And Visualization

ISBN: 9780134418049

6th Edition

Authors: Gary Rockswold

See More Books

Question Posted: Jun 13, 2023 07:15 AM

See More Questions

Find the equation of the circle x2 + y2 + Dx + Ey + F = 0 that passes through the points. To verify your result, use a graphing utility to plot the points and graph the circle. (2, 1) 1 2 3 4 (5, 2)...
A department store conducted an experiment to investigate the effects of advertising expenditures on the weekly sales for its men's wear, children's wear, and women's wear departments. Five weeks for...
The idea is to get an equation from the vanishing of the determinant of a homogeneous linear system as the condition for a nontrivial solution in Cramers theorem. We explain the trick for obtaining...
Recall the rural medical clinics in Example 8.3 and suppose that each community were required to be 25 miles at most from the nearest clinic. How many clinics would be needed, and what would their...
Why is the theory of charisma described as a double-edge sword?
Repeat Exercise 1 using the Midpoint rule. In Exercise 1 222% dx In x dx edx dx 2-4 dx X2-4 /4 sin x di ein 2r dx
Why is it necessary to create time-phased budgets in projects? What are their major strengths?
The following are the job cost related accounts for the law firm of Colaw Associates and their manufacturing equivalents: Law Firm Accounts Manufacturing Firm Accounts Supplies ............... Raw...
You are designing a solution to analyze data ingested from IoT devices in Azure IoT hub. The data will be analyzed for anomalous conditions and then the data will be visualized in Power BI in near...
Use the elimination method to solve each system of linear equations, if possible. Identify the system as consistent or inconsistent. 3x + 3y = 15 -x - = -4
For the given matrices A and B find each of the following. (a) A + B (b) B + A (c) A-B 2 3 12 B = 5 T 121
Regulated to make zero economic profit? The figure shows a situation similar to that of Calypso U.S. Pipeline, a firm that operates a natural gas distribution system in the United States. Calypso is...
Think about several companies with whom you'd like to develop a partnership. For each company, complete the worksheet. You might not be able to answer all, or most, of the questions immediately, but...
An effusive molecular beam source produces a beam of molecules with a Maxwell- Boltzmann speed distribution. Such a source may be realized by placing a small pinhole at the end of a tube and using a...
Data Analysis for Strategic decision making Complete the data analysis (attach your tables or data representations as appendices to your paper as Appendices) Begin writing your proposal for how the...
Put the following the steps of the accounting cycle in the correct order Prepare a post - closing trial balance. Prepare financial statements ( Income Statement, Statement of Retained Earnings,...
Complete Marketing Plan Merge all the parts from Module 3, 4, 5, & 6 Assignments including the feedback from your instructor, plus any additional details to compile a Complete Marketing Plan.To...
Designer Shirts is a supplier to Classic Stores (Classic), a major national retail outlet. There are rumours that Classic is in trouble, but the company has been in trouble before and has managed to...
An item of depreciable machinery was acquired on 1 July 2009 for $120,000 by cash It is expected to have a useful life of 10 years and zero salvage value On 1 July 2012, it was decided to revalue the...
In Exercise 5-31, the monthly demand for MMR vaccine was assumed to be approximately normally distributed with a mean and standard deviation of 1.1 and 0.3 million doses, respectively. Suppose that...
The rate of return of an asset is the change in price divided by the initial price (denoted as r ). Suppose that $10,000 is used to purchase shares in three stocks with rates of returns X 1 ,X 2 ,X 3...
The total net electricity consumption of the United States by year from 1980 to 2007 (in billion kilowatt-hours) is in Table 6E.12. Net consumption excludes the energy consumed by the generating...
Global climate change is frequently in the news, sometimes in a dramatic and sensational format. Informed citizens of the world need to be able to interpret these news articles and determine their...
Present a persuasive speech your topic must be something that your audience must decide over, like who to vote for an important position at your workplace, or an action that must be taken or be...
How do you critique a peer power point presentation using the following 1. organization 2. creative concept; Development and execution 3. Technical element. Can this be MLA on a power point.

Given three distinct points on a circle (x 1 , y 1 ), (x 2 , y

Question:

det x² + + y² +y₁² x₂² + 1/₂² 2 X3² + y3² X1 y₁ 1 X2 2 1 X3 Y3 1 0 =

Step by Step Answer:

x y y 1 0 0 0 1 16 4 ...View the full answer

College Algebra With Modeling And Visualization

Students also viewed these Mathematics questions