The points A and B lie on a circle with centre C, as shown in the diagram.

Question:

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 line l passes through the points M and C.

a. Find an equation for l. Given that the x-coordinate of C is −2:

b. find an equation of the circle.

c. find the area of the triangle ABC.

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

Step by Step Answer:

Related Book For book-img-for-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

The points R and S lie on a circle with centre C(a, 2), as shown in the diagram. The point R has coordinates (2, 3) and the point S has coordinates (10, 1). M is the midpoint of the line segment RS....
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...
The diagram shows a circle with centre O and radius r cm. Points A and B lie on TU the circle and angle AOB = /4 radians. The tangent to the circle at A intersects the straight line through O and B...
Question 2: Consider the market for Florida oranges. The demand for Florida oranges is given by the inverse demand function p = 70-2Q The market cost function for firms that sell Florida oranges is...
Airline Temporary Services (ATS) pays employees monthly. Payroll information is listed below for January, the first month of ATSs fiscal year. Assume that none of the employees exceeds the federal...
How do the passive loss rules and the at-risk rules work in conjunction to limit losses?
(Various Reporting Formats) The following information was taken from the records of Roland Carlson Inc. for the year 2004. Income tax applicable to income from continuing operations $187,000; income...
CVP, Not for profit Monroe Classical Music Society is a not-for-profit organization that brings guest artists to the communitys greater metropolitan area. The Music Society just bought a small...
Required information (The following information applies to the questions displayed below) Wawa Food Markets is a convenience store chain located primarily in the Northeast. The company sells gas,...
A researcher was interested in whether job satisfaction is related to commuting time to work. He interviewed 185 employees of a particular company concerning their commuting time (X) and their job...
The circle C has equation (x 3) 2 + (y + 3) 2 = 52. The baselines l 1 and l 2 are tangents to the circle and have gradient 3/2. a. Find the points of intersection, P and Q, of the tangents and the...
The circle (x + 4) 2 + (y 7) 2 = 121 meets the y-axis at (0, m) and (0, n). Find the values of m and n.
List the objectives of the International Monetary Fund (IMF).
According to a recent study, 21% of American college students graduate with no student loan debt. Suppose we obtain a random sample of 106 American college students and record whether or not they...
Differentiate the following with respect to x: a. y=5x+2x + x + 15 b. y=4x+3x - 4x - 10 c. y = 3Sin(5x) d. y = 3Cos(3x) e. y=10e -25x f. y = log(6x)
Question 2. The rate of drug destruction by the kidneys is proportional to the amount of the drug in the body. The constant of proportionality is denoted by K. At time t the quantity of the drug in...
5. 6. -1 (4a) U u X2 1 X2 -2 x -1 -2 12 (4b) U -2 2 Y y 16 x2 X2 3 1 (4c) U u - x 2 Y y -8 Y y -20 5 x X2 2 Find the state space models of the three systems shown in Fig. 4a, Fig. 4b, and Fig. 4c,...
Given the following data for Mehring Company, compute total manufacturing costs, prepare a cost of goods manufactured statement, and compute cost of goods sold. Direct materials used $230,000...
Maslow and his famous Hierarchy of Needs are often used a basis for understanding how team member's needs are met and how they are motivated. Find out at least one source that challenges Maslow's...
What mass of H2 will be produced when 122 g of Zn are reacted? Zn(s) + 2HCl(aq) ( ZnCl2(aq) + H2(g)
Suppose we want both the sensitivity and specificity to be at least 70%. Use the ROC curve to identify the possible value(s) to use as the cutoff for identifying people with dementia, based on these...
Calculate the area under the ROC curve. Interpret what this area means in words in the context of this problem? Mental Health The Chinese Mini-Mental Status Test (CMMS) consists of 114 items intended...
What is the probability of having a live birth (L) at a second birth given that the outcome of the first pregnancy was a stillbirth (D), that is, death? Demography A study based on data collected...
(International Finance) Computing a Currency changes = (e1 - e0 )/ e0 where e0 = old currency value e1 = new currency value (a) If the dinar devalues against the U.S. dollar by 45%, the U.S. dollar...
2. Fill in the time line for the Sawing Department. Use the time line to help you compute the number of equivalent units and the cost per equivalent unit in the Sawing Department for September Show...
question 6 Timely Inc. produces luxury bags. The budgeted sales and production for the next three months are as follows july. august september Sales, in units 1,115. 1229. 1302 Production. in units...

The points A and B lie on a circle with centre C, as shown in the diagram.

Question:

1 YA 0 A (3,7) M B (5, 1) X

Step by Step Answer:

a To find the equation for line l passing through points M and C we need to determine the slope of t...View the full answer

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

Students also viewed these Mathematics questions