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.
Transcribed Image Text:
det x² + + y² +y₁² x₂² + 1/₂² 2 X3² + y3² X1 y₁ 1 X2 2 1 X3 Y3 1 0 =
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
y 1 1 1 1 2 1 1 8 2 ...View the full answer
Answered By
CHARLES AMBILA
I am an experienced tutor with more than 7 years of experience. I have helped thousands of students pursue their academic goals. My primary objective as a tutor is to ensure that students have easy time handling their academic tasks.
5.00+
109+ Reviews
323+ Question Solved
Related Book For
College Algebra With Modeling And Visualization
ISBN: 9780134418049
6th Edition
Authors: Gary Rockswold
Question Posted:
Students also viewed these Mathematics 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...
-
The main ingredient of vinegar is acetic acid (HAc) that will dissociate into acetate (Ac - ) and hydrogen ion (H + ) in water: HAc < = > Ac - (aq) + H + (aq) . K HAc(room temp) = 1.8x10 -5 ....
-
Describe four underlying components of authentic leadership presented by Gardner and his associates.
-
Construct a natural cubic spline to approximate f (x) = cos x by using the values given by f (x) at x = 0, 0.25, 0.5, 0.75, and 1.0. Integrate the spline over [0, 1], and compare the result to 0. Use...
-
Explain the concept of earned value.
-
This problem continues the Daniels Consulting situation from Problem P10-23 of Chapter 10. Daniels Consulting believes the company will need to borrow $300,000 in order to expand operations. Daniels...
-
Let A 1 2 25 3 7. Find A-1 -3 -6 -10]
-
Use the elimination method to solve each system of linear equations, if possible. Identify the system as consistent or inconsistent. 6x - 15y = 12 -4x+10y=-8
-
Evaluate the function for the inputs. A(3, 6), where A(b, h) = bh
-
Exhibit 14.10 presents data on market-to-book (MB) ratios, ROCE, the cost of equity capital, and price-earnings (PE) ratios for seven pharmaceutical companies. (Note that PE ratios for these firms...
-
PT NUSA JAYA is considering setting up several branches to help sell its product line. As an experiment the company set up a branch in Bandung on year 2017 and has been operating for 3 years. During...
-
A company allocates overhead using a standard overhead rate of $4.80 per direct labor hour and 2 direct labor hours per unit. For this period, the company planned production of 10,140 units (80% of...
-
A company allocates overhead using a standard overhead rate of $4.80 per direct labor hour and 2 direct labor hours per unit. For this period, the company planned production of 10,140 units (80% of...
-
New tire retreading equipment, acquired at a cost of $906,250 on September 1 at the beginning of a fiscal year, has an estimated useful life of 5 years and an estimated residual value of $77,900. The...
-
Tubs to You Company distributes bath tubs. Line items from the company's most recent contribution format income statement follow: Sales $60,000 Variable expenses $36,000 Fixed expenses $8,000...
-
What does it mean to say that an insured has a duty to disclose? What happens if the insured fails in this duty?
-
The company manufactures three products: wooden chairs, tables and dressers. AFC started off as a 'Mom & Pop' shop but has grown rapidly. AFC uses one assembly line to build all three products,...
-
In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt...
-
Six tissues are extracted from an ivy plant infested by spider mites. The plant in infested in 20% of its area. Each tissue is chosen from a randomly selected area on the ivy plant. (a) What is the...
-
A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the...
-
Question C: No interest payments were made on the company's $15,000 12% note payable during 2022. This is what I have: B c 12/31/2022 Interest Receivable Interest Revenue 12/31/2022 Interest Expense...
-
Asset Category Number Land Description 1 acre - 11th Line Accumulated Depreciation Acquisition Useful Depreciation Expense Date Life (Yrs) Cost to 12/31/20 2021 Accumulated Depreciation to 12/31/21...
-
Grant Industries is evaluating whether to invest in solar panels to provide some of the electrical needs of its main office building in Buffalo, New York. The solar panel project would cost $600,000...
Study smarter with the SolutionInn App