The points P, Q and R have coordinates (2, 1), (6, 2) and (2, 18) respectively. a)

Question:

The points P, Q and R have coordinates (2, 1), (6, 2) and (2, 18) respectively.

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

b) Hence find the equation of the circle that
passes through P, Q and R.

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

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, . . ....
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...
The following are selected items from the accounting records of Georgia Peach for the year ended December 31, 2015: Note payable to SmithField Bank . . . . . . . . . . . . . . . . . . . . . . . . . ....
Use the results from Problem 2 to compute and interpret R2.
Three chains act in the bracket such that they create a resultant force having a magnitude of 500 lb. if two of the chains are subjected to know forces, as shown, determine the orientation ? of the...
The W14 $\times 38$ column is made of A-36 steel. Determine the critical load if its bottom end is fixed supported and its top is free to move in plane about the strong axis and is pinned about the...
Valuation Vandells free cash flow (FCF0) is $2 million per year and is expected to grow at a constant rate of 5% a year: its beta is 1.4. What is the value of Vandells operations? If Vandell has...
Kwan acquired a warehouse for business purposes on August 30, 2002. The building cost $420,000. Kwan took $227,600 of depreciation on the building, and then sold it for $500,000 on July 1, 2021....
Jeff Harris owns an appliance store. On January 1 he borrowed 50,000 dollars for improvements to the store from BBT, who took a security interest in all of the equipment and fixtures in the store. On...
The circle x + y + 2x + 4y 35 = 0 has centre C and passes through points P and Q. a) Find the coordinates of C. M(3, 2) is the mid-point of PQ. b) Find the equation of the line PQ. Give your answer...
The points A and B have coordinates (5, 1) and (1, 7) respectively. C is the mid-point of AB. a) Find the coordinates of C. b) Find the equation of the circle with AB as diameter. c) Find the...
What is the pressure difference between points A and B if d 1 = 1.7 ft, d 2 = 1 in., and d 3 = 6.3 in.? d2 . d1 Hg d H20
What is the doctrine of res ipsa loquitur and how does it help plaintiffs?
What must a plaintiff show to prove negligence per se?
What is the status of automobile-guest statutes today?
How does custom affect the evaluation of reasonableness?
Under what circumstances will the courts find an unforeseeable intervening cause not to be a superseding cause?
What is meant by the standard enthalpy of formation of a substance?
An environmentalist wants to determine if the median amount of potassium (mg/L) in rainwater in Lincoln County, Nebraska, is different from that in the rainwater in Clarendon County, South Carolina....
What does it mean when sampling is done without replacement?
To determine the prevalence of human growth hormone (HGH) use among high school varsity baseball players, the State Athletic Commission randomly selects 50 high schools. All members of the selected...
Describe a circumstance in which stratified sampling would be an appropriate sampling method?
1. A friend is extolling the virtues of her new geothermal heat pump. It has a COP of 4, so she argues that it uses only one-quarter of the energy a conventional heating system would use. Formulate a...
Conduct research to identify claims made about the effects that certain frequencies of EMR have when absorbed by matter. Find two examples from published sources. Write brief descriptions of your two...
Two cars are traveling down the road. Car A travels for 10 seconds at while uniformly accelerating from 0 m/s to 40 m/s and Car B accelerates uniformly from 20 to 25 m/s over 10 seconds. Which car...

The points P, Q and R have coordinates (2, 1), (6, 2) and (2, 18) respectively. a)

Question:

Step by Step Answer:

a To show that PQR is a rightangled triangle we need to show that one of the angles is a right angle ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions