Question: a) Show that (x 5)(x 2) + (y 7)(y 1) = 0 represents a circle. b) Find the centre and radius

a) Show that (x − 5)(x − 2) + (y − 7)(y − 1) = 0 represents a circle. 

b) Find the centre and radius of this circle.

Step by Step Solution

★★★★★

3.31 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To show that the given equation represents a circle we need to rewrite it in standard for... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

Q:

The following information pertains to Geo Ltd. In 2020 the company entered into new borrowings using short-term notes payable. On June 30, they borrowed $11,500 that they planned to use to purchase...

Q:

A circle has equation x + y 6x + 4y 3 = 0. Find the centre and radius of the circle.

Q:

Two units of raw material are required to produce one unit of final product What was the company's direct materials price variance? Raw Material Purchased 35,00 Used Cost $105,000 In Nov, produced...

Q:

Consider the solid generated by revolving the region bounded by the graphs of the equations about the line x = 5. Y = VX y = 0 x =1 Using the shell method, find the radius p(x) and height h(x). P(x)...

Q:

\ can you help me with this? Directions: 1) Show all work in order to receive partial credit. 2) Use any technique you wish to answer the questions on this exam unless mm in the question. Remember to...

Q:

Please I need help in solving these questions as soon as possible. It is math grade 12 academic. It is a qizmos https://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=504....

Q:

Math 11 Scimmage Test 1 1.) The variable cost to manufacture an item is $10 , and it costs $2, 500 to produce 100 items. Write the cost function, then use it to estimate the cost of manufacturing 300...

Q:

Question 1 1 pts What is the system of ODEs a; = 3x1 - x2 + cos(t), a2 = 21 + 4x2 + t - e t in matrix form X' = AX + G? ox - (2 7 ) x + (cos( ) Ox' = (3 1 x + 05 () " = (1 37) x + ((0(2. ) O X' cos (...

Q:

Name: Class: Date: ID: A MCV4U Chapter 1 Test /24 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. (1 point) Evaluate the limit: lim *-1 *4-2+x - 4 a....

Q:

(8%) Problem 6: In the figure, the point charges are located at the corners of an equilateral triangle 21 cm on a side. qa p. - - 2 qc 50% Part (a) Find the magnitude of the electric field, in...

Q:

The Philips Curve in the Ten Principles video, Dr. Todd Buchholz and Dr. Caroline Hoxby debated the very existence of the Phillips Curve. Dr. Hoxby indicated she was taking bets that the Phillips...

Q:

Given the following net cash flows, determine the IRR of the project: Time Net Cash Flow ($) 0 1,520 1 -1,000 2 -1,500 3 500 Required: 1) There are four pitfalls to using IRR calculations, based on...

Q:

A company has net working capital of $ 1 8 0 7 . If all its current assets were liquidated, the company would receive $ 5 7 4 1

Q:

=+The department expects to lay out 17,500 pages for 2008. The computers used by the department have an estimated salvage value of $5,000. The Publication Department office space would be used for...

Q:

The cutoff points of ¥ 5 for a VAS test-positive and ¤ 4 for a VAS test-negative are arbitrary. Compute and graph the ROC curve for the VAS test by varying the cutoff point for a...

Q:

The area under the ROC curve is 65%. What does it mean? Orthopedics Piriformis syndrome is a pelvic condition that involves malfunction of the piriformis muscle (a deep buttock muscle), which often...

Q:

What is the sensitivity of this test? Cancer Breast cancer is considered largely a hormonal disease. An important hormone in breast-cancer research is estradiol. The data in Table 3.18 on serum...

Q:

Which of the following statements is not true? The goal of managing working capital, such as inventory, should be to minimize the: Select one: O a. costs of carrying inventory O b. opportunity cost...

Q:

I really need help completing and understanding this problem. Very much appreciated. Salmone Company reported the following purchases and sales of its only product. Salmone uses a perpetual inventory...

Q:

Case Study 1 Rubric Please note that this rubric provides a general guideline but you can score anywhere between 0 and the maximum number of points for that step depending on the accuracy and...