The points P(1, 2) and Q(7, 1) lie on the circumference of a circle. Show that the

Question:

The points P(1, −2) and Q(7, 1) lie on the circumference of a circle.
Show that the centre of the circle lies on the line 4x + 2y = 15.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:43 AM

The measurement of the circumference of a circle is found to be 64 centimeters, with a possible error of 0.9 centimeter. (a) Approximate the percent error in computing the area of the circle. (b)...
The ratio of the circumference of a circle to its diameter is known as (pi). The value of is an irrational number, which means that the decimal part goes on forever and there is no fixed sequence...
Solve each problem The circumference of a circle varies directly as the radius. A circle with radius 7 in. has circumference 43.96 in. Find the circumference of the circle if the radius changes to 11...
In Problems 2738, the reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or x 1 , x 2 , x 3 , x...
a. Determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation. b. Find its equation. c. Use two points to graph the equation. 3 and 4
Write a short note on wind energy and its conversion.
The following data were obtained for the velocity profiles in turbulent flow at a specified point in a channel flow as a function of time. The measurements were taken 0.01 seconds apart. The velocity...
1. East Coast Yachts uses a small percentage of preferred stock as a source of financing. In calculating the ratios for the company, should preferred stock be included as part of the companys total...
A projectile is launched with initial velocity v =25.7 m/s at an angle 0 = 21.5. What is the height (in meters) of the projectile's apex (the highest point along its trajectory)?
An exercise advocate wants to determine the effect that walking rigorously has on weight loss. The researcher recruits participants to engage in a weeklong study. The researcher instructs...
Three points have coordinates A(7, 4), B(19, 8) and C(k, 2k). Find the value of the constant k for which: a. C lies on the line that passes through the points A and B b. angle CAB is 90.
The function f is such that f(x) = x 2 5x + 5 for x . a. Find the set of values of x for which f(x) x. b. The line y = mx 11 is a tangent to the curve y = f(x). Find the two possible values of m.
Refer to question 7. What amounts would be reported if the direct write-off method were used? Which method (allowance or direct write-off) more accurately reports the financial results? Refer...
Empire Electric Company (EEC) uses only debt and common equity. It can borrow unlimited amounts at an interest rate of rd = 9% as long as it finances at its target capital structure, which calls for...
$\$ 20$ million of nondealer real estate obligations arose in and are outstanding at the end of calendar-year 2018. Deferred gross profit on such installment obligations equals $\$ 5$ million....
Make a drawing that illustrates how DNA helicase works.
Carl Carter had purchased a residence on January 12,2017 , for $\$ 165,000$ and then sold it on April 12, 2018, for $\$ 440,000$ because of severe health problems. a. How much gain can Carl...
Brian owns 200 shares of Bell Corp. stock purchased in January 2016 for $\$ 2,400$. On January 30, 2018, he receives 200 taxable stock rights valued at $\$ 5$ with the right to purchase...
Oscillating reactions were first reported in 1958. How is it possible for a reaction to oscillate from one color to another?
Give the products of the following reaction, where T is tritium: dioldehydrase Ad- CH CH3C-COH CoIII) coenzyme B12
Events X and Y are such that P(X ) = 0.5, P(Y ) = 0.6 and P(X Y ) = 0.2. a. State, giving a reason, whether events X and Y are mutually exclusive. b Using a Venn diagram, or otherwise, find P(X Y...
Maria chooses toast for her breakfast with probability 0.85. If she does not choose toast then she has a bread roll. If she chooses toast then the probability that she will have jam on it is 0.8. If...
When a customer at a furniture store makes a purchase, there is a 15% chance that they purchase a bed. Given that 4.2% of all customers at the store purchase a bed, find the probability that a...
Write a function in Matlab that calculates the normal depth for a trapezoidal section. Use the following call statement for your function: [yo] Normal Depth Trap (Q, b, m, So, n, Kn) where...
Create a decision tree for the data table below.(Show and explain all your work) A B C D Class T T T T T T T T F F T T F T F T T F F T T F T T F T F T F T T F F T T T F F F F F T T T F T T F T F T F...
Organization that is known as a U.S.-based company has set the goal of becoming a key force in main European markets, including the United Kingdom, Germany, Spain, and Italy. This was to be achieved...

The points P(1, 2) and Q(7, 1) lie on the circumference of a circle. Show that the

Question:

Step by Step Answer:

Let Cx y be the center of the circle of interest We are gi...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions