The points K, L and M have coordinates (10, 8), (2, 10) and (14, 2) respectively. a)

Question:

The points K, L and M have coordinates (10, 8), (−2, −10) and (−14, −2) respectively.

a) Use Pythagoras' theorem to show that KLM is a right-angled triangle.

b) Hence find the equation of the circle that
passes through K, L and M.

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

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 13, 2023 10:51 AM

See More Questions

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
Relative to an origin O, the position vector of A is i 2j + 5k and the position vector of B is 3i + 4j + k. a. Find the magnitude of AB vector . b. Use Pythagoras theorem to show that OAB is a...
A persymmetric matrix is a matrix that is symmetric about both diagonals; that is, an N N matrix A = (aij) is persymmetric if aij = aji = aN+1i,N+1j, for all i = 1, 2, . . . , N and j = 1, 2, . . ....
Three employees of the Horizon Distributing Company will receive annual pension payments from the company when they retire. The employees will receive their annual payments for as long as they live....
Using the data and results from Problem 2, do the following: (a) Find the least-squares regression line treating fat content as the explanatory variable. (b) Draw the least-squares regression line on...
Determine the magnitude and direction measured counterclockwise from the positive x axis of the resultant force of the three forces acting on the ring A. Take F1 = 500 N and ? = 20?. 600 N 400 N 30
The $\mathrm{W} 10 \times 45$ is made of $\mathrm{A}-36$ steel and is used as a column that has a length of $15 \mathrm{ft}$. If its ends are assumed pin supported, and it is subjected to an...
Moreno Industries has adopted the following production budget for the first 4 months of 2011. Each unit requires 3 pounds of raw materials costing $2 per pound. On December 31, 2010, the ending raw...
You have an air compressor capable of supplying 150 SCFM @ 150psi to a wind tunnel. The test section has the following maximumcross-sectional dimensions: Width = 0.5 in, Height = 2.0 in. Whatis the...
Multiple Choice Questions: The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L) and Dark (D). Two of his resources are constrained: production time, which is limited to 8...
A circle with centre Chas equation x + y + 8x + 4y 5 = 0. a) Find the coordinates of C and the radius of the circle. b) A(0, 5) and B(0,1) lie on the circle. Find the equation of the line...
a) Sketch the graph of y = g(x) and state the domain and range of g(x). b) Give the coordinates where y = crosses a coordinate axis. y = g(x) c) Sketch the graph of y = h(x) and state the domain and...
Explain the concept of a weighted average in your own words.
What duty of care does a possessor owe to those outside their property? a. What distinction is made between artificial and natural conditions?
Is there a common law duty to rescue someone in distress? a. Under what conditions does such a duty exist? Give an example.
What sources can an attorney consult when evaluating the value of a case?
What are automobile-guest statutes and why were they introduced?
What is the Learned Hand formula, and how does it help in assessing reasonableness?
What property of enthalpy provides the basis of Hessslaw? Explain.
A genetically engineered strain of Escherichia coli (E. coli) is used to synthesize human insulin for people suffering from type I diabetes mellitus. In the following simplified reaction scheme,...
In an effort to identify whether an advertising campaign has been effective, a marketing firm conducts a nationwide poll by randomly selecting individuals from a list of known users of the product?...
A radio station asks its listeners to call in their opinion regarding the use of U.S. forces in peacekeeping missions? Identify the type of sampling used.
A farmer divides his orchard into 50 subsections, randomly selects 4, and samples all the trees within the 4 subsections to approximate the yield of his orchard? Identify the type of sampling used.
An angry monkey throws a lime (m = 0.15 kg) with an initial speed of 9.5 m/s at an angle of 35 o above the horizontal. The lime flies a certain distance before landing back on the ground (the same...
A 1500 kg aircraft going 35 m/s collides with a 2000 kg aircraft that is parked and they stick together after the collision and are going 15 m/s after the collision. If they skid for 108.6 m before...
4. You need to determine how far into the brain x-rays from Fe-55 radioactive source will penetrate in order to measure the amount of Al in brain plaque. Determine the expected intensity of the...

The points K, L and M have coordinates (10, 8), (2, 10) and (14, 2) respectively. a)

Question:

Step by Step Answer:

a We can use the distance formula to find the lengths of the sides of the triangle KLM Length of sid...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions