A circle with equation (x k) 2 + (y 3k) 2 = 13 passes through

Question:

A circle with equation (x − k)² + (y − 3k)² = 13 passes through the point (3, 0).

a. Find two possible values of k. (6 marks)

b. Given that k > 0, write down the equation of the circle

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

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 14, 2023 11:51 PM

See More Questions

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...
In Problems 21 and 22, first use the method of Example 2 to construct a slope field for the given differential equation. Then sketch the solution curve corresponding to the given initial condition....
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...
To some U.S. manufacturers and labor unions, a cheap yuan value gives China's advantage in the global economy. bankers exports importers subsidies an unfair
Who pays Social Security taxes: the employer, the employee, or both? How is the deduction for Social Security and Medicare (FICA) computed?
Explain why chemists doing quantitative work using liquid solutions prefer to express concentration in terms of molality rather than molarity.
Calculate the energy density versus temperature very early in the universe when the temperatures were above $k T=300 \mathrm{MeV}$. At those temperatures, quarks and gluons were released from...
Clark Products makes pizza ovens for commercial use. Michael Clark, CEO, is contemplating producing smaller ovens for use in high school and college kitchens. The activities necessary to build an...
What output will be produced by the following code segment? int divide (double a, double b}{ } return (a/b); int main(){ double x=1.0, y = 4.0; cout < < divide(x, y); return 0; }
TQ 5G and Edge Computing 1- a retailer is able to track which products draw the most attention from its customers through the use of 5g-enabled motion sensors placed around the store. with this...
The line segment JK is a diameter of a circle, where J and K are (3/4, 4/3) and (1/2, 2) respectively. The centre of the circle lies on the line segment with equation y = 8x + b. Find the value of b.
Consider the points A(3, 15), B(13, 3), C(7, 5) and D(8, 0). a. Show that ABC is a right-angled triangle. b. Find the equation of the circumcircle. c. Hence show that A, B, C and D all lie on the...
A fire in the factory of Frannys Famous Frankfurters destroys several stuffing machines. The machines have an adjusted basis of $125,000 and a fair market value of $225,000. Frannys insurance company...
A company wants to achieve a weighted average cost of capital of 10.36%. The company has a before-tax cost of debt of 8.46% and a cost of equity of 12.26%. If the tax rate is 30%, what debt-to-equity...
10. A silicon n'p junction is biased at VR = 5 V. (a) Determine the change in built-in potential barrier if the doping concentration in the p region increases by a factor of 3. (b) Determine the...
You decide to invest in a portfolio consisting of 15 percent Stock X, 36 percent Stock Y, and the remainder in Stock Z. Based on the following information, what is the standard deviation of your...
A mass of 5.80kg is permanently attached to a spring. The spring has a spring constant K, of 2200 N/m. The doing is attached 0.13 m to the right and then released from the rest on a horizontal...
Ricky Ripovs Pawn Shop charges an interest rate of 13.25 percent per month on loans to its customers. Like all lenders, Ricky must report an APR to consumers. What rate should the shop report? (Do...
The slogan for the movie Godzilla was Size does matter. Should this be the slogan for America as well? Many marketers seem to believe so. The average serving size for a fountain drink has gone from...
Evenflow Power Co. is considering a new project that is a little riskier than the current operations of the company. Thus, management has decided to add an additional 1.5% to the company's overall...
Answer Problem 4.14 for a mixed urban/suburban hospital (hospital C). Infectious Disease Newborns were screened for human immunodeficiency virus (HIV) or acquired immunodeficiency syndrome (AIDS) in...
Answer Problem 4.15 for a mixed urban/suburban hospital (hospital C). Infectious Disease Newborns were screened for human immunodeficiency virus (HIV) or acquired immunodeficiency syndrome (AIDS) in...
Answer Problem 4.16 for a mixed urban/suburban hospital (hospital C). Infectious Disease Newborns were screened for human immunodeficiency virus (HIV) or acquired immunodeficiency syndrome (AIDS) in...
Select two large, publicly traded companies within a particular industry. For example, you could select two airlines or two retail drug stores. Go online into a finance website such as...
Selected accounts balances of Sunset Cosmetics Inc for year ended December 31, 2023 are as follows: Sales Salaries and Commissions Advertising Expense Legal Services Insurance and Licenses Travel...
heridan Inc. sells a product for $115 per unit. The variable cost is $64 per unit, while fixed costs are $593,028. Determine (a) the break-even point in sales units and (b) the break-even point if...

A circle with equation (x k) 2 + (y 3k) 2 = 13 passes through

Question:

Step by Step Answer:

a To find the possible values of k well use the fact that the circle passes through the point 3 0 S...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions