Question: A circle has equation x 2 + 2x + y 2 24y 24 = 0 a. Find the centre and radius of the

A circle has equation x² + 2x + y² − 24y − 24 = 0

a. Find the centre and radius of the circle.

b. The points A(−13, 17) and B(11, 7) both lie on the circumference of the circle. Show that AB is a diameter of the circle.

c. The point C lies on the negative x-axis and the angle ACB = 90°. Find the coordinates of C.

Step by Step Solution

★★★★★

3.46 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem lets go through each part step by step a Find the center and radius of the circle The equation of a circle can be written in the ... View full answer

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 Edexcel AS And A Level Mathematics Questions!

(10pt) Suppose that you know a MAC value X and the key K that was used to compute the MAC, but you do not know the original message. (a) (8pt) Show that you can construct a message M that also has...

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...

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...

A circle, C, has equation x 2 + y 2 4x + 6y = 12 a. Show that the point A(5, 1) lies on C and find the centre and radius of the circle. b. Find the equation of the tangent to C at point A. Give your...

AAMSHSZS CALCULUS AND ALGEBRA Question 1 it) The coordinates of points A, B and C are IE41 1), (it, 5) and {10. -'i') respectively. (i) Find the distance of AC. (3 marks] (it) Find the value of at...

Answer all the activities correctly CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that...

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

kndly explain everything I dont understand this lesson and answerr the activity ad also pls explain your answers CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a...

A converging lens with a focal length of 15.0 cm and a diverging lens are placed 25.0 cm apart, with the converging lens on the left. A 2.00-cm-high object is placed 22.0 cm to the left of the...

A drug that provides relief from headaches was tried on 18 randomly selected patients. The experiment showed that the mean time to get relief from headaches for these patients after taking this drug...