My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
February 3rd, 2013, 09:47 PM   #1
Joined: Jan 2013

Posts: 54
Thanks: 0

Intersection points



Prove that these two curves are tangent at all their intersection points.

My memory is foggy on how to approach this. Do I just isolate x and y in both equations, then substitute x and y into their corresponding points in the equation to find the intersection points?
math221 is offline  
February 4th, 2013, 05:46 AM   #2
Global Moderator
greg1313's Avatar
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,968
Thanks: 1152

Math Focus: Elementary mathematics and beyond
Re: Intersection points

The first equation is a circle the second is an ellipse - they intersect at (x, y) = (1, -1). Implicitly differentiating the two given equations shows that the slope, for both the circle and the ellipse, at (1, -1) is 0, thus they are tangent where they intersect.
greg1313 is offline  

  My Math Forum > College Math Forum > Calculus

intersection, points

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Help with Math problem please? Points of intersection Hithere Algebra 6 November 23rd, 2013 10:51 AM
Polynomials' Intersection Points Herc11 Linear Algebra 1 July 7th, 2013 04:06 AM
...the tangents at the points of intersection are concurrent sivela Calculus 1 January 15th, 2011 10:50 PM
Number of Points of intersection. chetjan Algebra 11 November 6th, 2009 01:11 PM
Points of intersection of a circle. Oxymoron Algebra 4 July 23rd, 2008 04:11 PM

Copyright © 2019 My Math Forum. All rights reserved.