Question: A circle with centre C(2, 1) passes through the point A(4, 2). a) Find the equation of the circle in the form x + y

A circle with centre C(2, −1) passes through the point A(4, 2).

a) Find the equation of the circle in the form x² + y² + ax + by + k = 0, where a, b and k are integers.

b) Find the equation of the tangent to the circle at A.

c) Find the coordinates of the points at
which the tangent cuts the coordinate
axes.

Step by Step Solution

★★★★★

3.39 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Since the circle passes through A4 2 and has center C2 1 we can use the distance fo... 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 stresses on two mutually perpendicular planes through a point in a body are 80 MPa and 50 Mpa both tensile. Determine the maximum value of the shear stress which can be applied so that the...

Q:

Jerry Clark is the sole proprietor of Affordable Digital Hearing, which does business by repairing hearing aids. In June 2006, Clark received a call from Kevin Wilson, a representative of...

Q:

1. [0/10 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A UFO going 93 m/s south suddenly experienced a constant acceleration for 53 s and was going 331 m/s north at the...

Q:

A circle has centre (8, 3) and passes through the point P(13, 5). a. Find the equation of the circle. b. Find the equation of the tangent to the circle at the point P. Give your answer in the form ax...

Q:

A circle has centre (3, 2) and passes through the point P(5, 6). a. Find the equation of the circle. b. Find the equation of the tangent to the circle at the point P, giving your answer in the form...

Q:

The points A and B lie on a circle with centre C, as shown in the diagram. The point A has coordinates (3, 7) and the point B has coordinates (5, 1). M is the midpoint of the line segment AB. The...

Q:

\\ Unit 1 Assignment - Chapter 1 1) State the degree and the leading coefficient of each polynomial Even or Symmetry Domain and Oodd Leading 0dd/Even/ Range Degree? | Coefficient Neither t likely...

Q:

4 1. Find the slope of the line passing between the points (a) (2, 1), (4, 5) (b) (4.8, 3.1), (5.2, 1.6) 2. Find an equation of the line that passes through the following given points and their...

Q:

MATH 2264-005: Matrices and Linear Algebra Practice Problems for Exam 1 1. Do the lines 2x + 3y = 1 and x + 4y = 3 have a common point of intersection? 2. Describe the solution set in of 2x1 + 3x2...

Q:

Please answer the following question: 1. Factor fully the polynomial function: g(x) = 30x353x2+31x6 For the function state: - the x-intercept(s) (you need to factor the functions) - the y-intercept -...

Q:

At the alveolar airpulmonary blood interface, gas exchange occurs by simple diffusion. Without certain adaptations, however, diffusion occurs too slowly to produce a viable level of gas exchange....

Q:

On January 1, 2021, the general ledger of Boomer Company includes the following account balances: Accounts Debit Credit Cash $ 81,000 Accounts Receivable 54,000 Allowance for Uncollectible Accounts $...

Q:

2.16 If S = {x | 0

Q:

(a) The radioactive decay of polonium 218 to bismuth 214 is given by 218Po 214Pb 214Bi, where the first reaction rate is k1 = 0.5 s1, and the second reaction rate is k2 = 0.06 s1. (i) Write down...

Q:

Target wants to open a new store in the village of Lock port. Before construction, Targets marketers want to obtain some demographic information regarding the area under consideration. Design a...

Q:

The county sheriff wants to determine if a certain highway has a high proportion of speeders traveling on it. Design a sampling method to obtain the individuals in the sample. Be sure to support your...

Q:

A pharmaceutical company wants to conduct a survey of 30 individuals who have high cholesterol. The company has obtained a list from doctors throughout the country of 6600 individuals who are known...

Q:

None of the above Question 10 5 pts Condor Company is considering an investment in a project that has an internal rate of return of 12%. The project has a 5-year useful life but has no salvage value....

Q:

What is the MAD? What is the MSE? What is the MAPE in %? Question 2-4: Answer questions 2-4 based on the following table

Q:

Providence Hospital generates monthly performance reports for each of its departments. The hospital must maintain an adequate staff of attending and on-call physicians at all times, so physician...