The points P and Q with coordinates (3, 1) and (5, 3) lie on the circle C
Question:
The points P and Q with coordinates (3, 1) and (5, −3) lie on the circle C with equation x2 − 4x + y2 + 4y = 2.
a. Find the equation of the perpendicular bisector of the line segment PQ.
b. Show that the perpendicular bisector of PQ passes through the centre of the circle C.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
Lets go through these steps one by one Finding the midpoint of PQ The midpoint formula is given by M...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
The circle C has a centre at (6, 9) and a radius of 50. The line l 1 with equation x + y 21 = 0 intersects the circle at the points P and Q. a. Find the coordinates of the point P and the point Q....
-
The circle C has equation x 2 4x + y 2 6y = 7. The line l with equation x 3y + 17 = 0 intersects the circle at the points P and Q. a. Find the coordinates of the point P and the point Q. b. Find...
-
You have to assume and Create Master Budget a. How many items, units, or services do you expect to sell? How much revenue will this produce? b. What are the costs that you expect to incur? Include...
-
Accurate Job Costing must be done on three levels. Which of the following is not one of these levels? Tracking and controlling costs during jobs Tracking gross profit each month Filing records on...
-
China Express purchased land for $140,000. Prior to construction on the new building, the land had to be cleared of trees and brush. Construction costs incurred during the first year are listed...
-
Construct a box plot of the cholesterol changes to the right of the stem-and-leaf plot? Table 2.15: Serum-cholesterol levels (mg/dL) before and after adopting a vegetarian diet *Before after. Subject...
-
According to the Supreme Court decision in Quill Corp. v. North Dakota, a state may not require a retailer with no physical presence in the state to collect and remit sales tax on sales made in the...
-
The Central Valley Company has prepared department overhead budgets for budgeted-volume levels before allocations as follows: Management has decided that the most appropriate inventory costs are...
-
In service partnerships, if properly booked for tax purposes pursuant to Treasury Regulations under IRC 731, partners who receive so-called "draw" allowances are not deemed to receive distributions...
-
Ellipses Corp is a small business that operates in Herndon, VA. The company is located at10 Period Lane, Herndon, VA 20170. Its federal Employer Identification Number is 77-7777777, and its...
-
The points P(11, 8), Q(6, 7) and R(4, 7) lie on the circumference of a circle. a. Find the equation of the perpendicular bisector of i. PQ ii. QR b. Find an equation for the circle.
-
The line y = x + 4 meets the circle (x 3) 2 + (y 5) 2 = 34 at A and B. Find the coordinates of A and B.
-
Show that each of the following sets of vectors is independent. (a) {x2, x + 1, 1 - x - x2} in P2 (b) 11][0 1] [1 0111 0 1 1 in M22
-
Shiny Kitchen Inc. and Juicello Corp. are two competitors in the electric juicer market. The cost incurred by each company to manufacture juicers is $75 per unit. Although both the companies sell...
-
Create a welcoming message to an individual that completed Pre-Med and worked in an operating room, but now seeking work opportunity in an emergency room.
-
Check whether the following sets form subspace or not. (i) S={(x,x,x)=R | x-4x+5x=2} in the vector space R. (ii) S={(x,x)=R | y=x] in the vector space IR. (iii) S={AEM22 | det(A) = 0) in the vector...
-
Esquire Incorporated uses the LIFO method to report its inventory. Inventory at the beginning of the year was $780,000 (39,000 units at $20 each). During the year, 118,000 units were purchased, all...
-
Question: Identify the big-O time complexity of each of the following functions: void fl (int n) { for (int i=0; i < (3*n+n); ++i) { } cout < < i < < endl; for (int i=0; i < (10*n); ++i) { cout < < i...
-
When you go out on a first date, identify the set of crescive norms that are operating. Write a report (preferably when the date is over) describing specific behaviors each person performed that made...
-
Use Stokes' Theorem to evaluate f(y+sin x) dx+(z+cos y) dy+rdz, where C is the rve r(t) = (sint, cost, sin 2t), t = [0, 2].
-
After how many years of follow-up would we expect the cumulative incidence of blindness to be 10% among 30-year-old IDDM females, if the incidence rate remains constant over time? Ophthalmology,...
-
What does cumulative incidence mean, in words, in the context of this problem? Ophthalmology, Diabetes A study [12] of incidence rates of blindness among insulindependent diabetics reported that the...
-
What is the exact probability of 51 deaths occurring on one day if the cardiac death rate in the previous week continued to hold on the day of the earthquake? Cardiovascular Disease An article was...
-
Using the Student table in the database provided in the Doc Share (Lab 5 SQL.accdb), perform the following tasks: 1. Write a SQL statement to display First and Last Name. 2. Write a SQL statement to...
-
what is the output of the following code? 1 #include 2 #include 3 4 int function(int a, int b); 5 6int main() { 7 8 9 10 11 12 13 14 } 15 int answer; answer = function (8, 5); printf("answer = %i ",...
-
6. Consider the following idea for sorting a list of size n: Split the list into n1/3 lists of size n2/3 each, sort each of the smaller list individually and then merge the sorted lists to get a...
Study smarter with the SolutionInn App