If x 2 + y 2 + dx + ey + f = 0 is the equation

Question:

If x² + y² + dx + ey + f = 0 is the equation of a circle, show that

is an equation of the tangent line to the circle at the point (x₀, y₀).

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

Step by Step Answer:

Related Book For answer-question

Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

ISBN: 9780137945139

5th Edition

Authors: Michael Sullivan

See More Books

Question Posted: Jul 25, 2023 09:20 AM

See More Questions

If r is the position vector of the point (x, y, z) and A is a constant vector, show that: (a) (r A) A = 0 is the equation of a constant plane (b) (r A) r = 0 is the equation of a sphere (c) Also...
The equation of a circle is xz + yz = Rz, where R is the radius of the circle. Write a program in a script file that first derives the equation (symbolically) of the tangent line to the circle at the...
Refer to Problem 65. The line x 2y + 4 = 0 is tangent to a circle at (0, 2). The line y = 2x 7 is tangent to the same circle at (3, 1). Find the center of the circle. Data from problem 65 If the...
Identify 3 ethical and 3 legal issues regarding Genomics ? with examples? Genomic services provided for gaining a better understanding of the interactions between genes and the environment but there...
The wearever Shoe Company is going to open a new branch at a mall, and company manager are attempting to determine how many sales-people to hire Based on an analysis of mall traffic. The company...
Describe the relationship between bandwidth, data transfer rate, and signal frequency.
Tyler Companys ASC 932-235 disclosures included the following information: REQUIRED: Using the information for Tyler Company in problems 13, 14, and 15 and in this problem: a. Compute the value of...
Bulldog Appliances uses the periodic inventory system. Details regarding the inventory of appliances at September 1, 2011, purchases invoices during the next 12 months, and the inventory count at...
Determine profit from the following transaction. You purchase 55 SPI200 futures contracts at 7372 and hold them to expiry when the market settles at 7322.50. In your answer you must state your...
Which of the following equations might have the graph shown? (a) (x - 2) + (y + 3) = 13 (b) (x - 2) + (y-2) = 8 (c) (x - 2) + (y - 3) (d) (x + 2) + (y-2) = 8 = 13 (e) x + y - 4x 9y = 0 (f) x + y + 4x...
In Problems 5378, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you...
Does a municipal bond earn a higher return than a zero-coupon bond? Why?
Inventories Raw materials inventory Work in process inventory Finished goods inventory Activity during current year Raw materials purchased Direct labor Factory overhead Beginning of Year $ 7,700...
Assume that peek(), pop(), push(), printStack() methods are defined in the Stack class. Also Node class is defined. Find the correct output: stack.push(100); stack.push(200); stack.push(500);...
The following data are available: Date year 2 - - - Concepts Units Unit Cost June 1 Begining inventory 1 0 0 2 9 , 5 June 4 Purchase 2 5 0 3 3 June 1 2 Sales 1 2 0 June 1 8 Purchase 4 0 0 3 0 June 2...
Accounts appearing in the December 31 trial balance of Marmara Inc. are listed below: Accounts Payable Capital Stock Accounts Receivable Bank Loan Dividends Rent Expense Salaries Expense Depreciation...
Which activities involve acquiring the resources to run the business? Operating Delivering Financing Investing
A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean...
Discuss the information available from the following techniques in the analysis of inorganic pigments used in antique oil paintings: (i) Powder X-ray diffraction, (ii) Infrared and Raman...
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form. (2x + 1) 3
Add, subtract, or multiple, as indicated. Express your answer as a single polynomial in standard form. (3x 2) 3
Find the quotient and the remainder. Check your work by verifying that (Quotient)(Divisor) + Remainder = Dividend 4x 3 3x 2 + x + 1 divided by x + 2
A long forward contract on a non - dividend - paying stock was entered into some time ago. It currently has six months to maturity. The risk - free rate of interest ( with continuous compounding ) is...
Suppose 8.3 kg of chloroform at 11.4C is poured into 9 kg of propylene glycol at 40.4C. Calculate the final equilibrium temperature (in Celsius), neglecting any energy processes associated with...
A uniform ladder 4.90 m long rests against a frictionless, vertical wall with its lower end 3.10 m from the wall. The ladder weighs 157 N. The coefficient of static friction between the foot of the...

If x 2 + y 2 + dx + ey + f = 0 is the equation

Question:

y + yo xox + yox + dlxtaxo) + e() +5 2 2 + f = 0

Step by Step Answer:

To show that the given equation x0x y0y dx ey f 0 is the equation of the tangent line to the circle ...View the full answer

Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

Students also viewed these Mathematics questions