My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 22nd, 2008, 04:59 PM   #1
Newbie
 
Joined: Jul 2008

Posts: 10
Thanks: 0

Points of intersection of a circle.

What would the points of intersection of the circle x^2 + ( y - 1 )^2 = 25 and y = - 7x + 26 be using the system of equations to solve?
Oxymoron is offline  
 
July 23rd, 2008, 02:59 AM   #2
Newbie
 
Joined: Jun 2008
From: New Zealand

Posts: 20
Thanks: 0

Re: Points of intersection of a circle.

Substituting into , we have








So

or


When ,
when ,

Thus the two points are (3, 5) and (4, -2)
Redmafiya is offline  
July 23rd, 2008, 10:49 AM   #3
Newbie
 
Joined: Jul 2008

Posts: 10
Thanks: 0

Re: Points of intersection of a circle.

Thank you so much. How would i find the length of the chord in radical form for that answer?
Oxymoron is offline  
July 23rd, 2008, 02:14 PM   #4
Newbie
 
Joined: Jun 2008
From: New Zealand

Posts: 20
Thanks: 0

Re: Points of intersection of a circle.

The length of the chord is the distance between (3, 5) and (4, -2).

To find the distance between and , use the following formula:



The answer in radical form is
Redmafiya is offline  
July 23rd, 2008, 04:11 PM   #5
Newbie
 
Joined: Jul 2008

Posts: 10
Thanks: 0

Re: Points of intersection of a circle.

Would i do the same kind of a thing to find the distance from the center of the circle to the chord?
Oxymoron is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
circle, intersection, points



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Polynomials' Intersection Points Herc11 Linear Algebra 1 July 7th, 2013 04:06 AM
Intersection points math221 Calculus 1 February 4th, 2013 05:46 AM
Ellipse inside a circle - intersection Andromedus Algebra 18 February 3rd, 2012 12:03 PM
Angular Circle Intersection nom Algebra 1 August 15th, 2010 03:08 AM
Number of Points of intersection. chetjan Algebra 11 November 6th, 2009 01:11 PM





Copyright © 2019 My Math Forum. All rights reserved.