A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
If A be a point on the ellipse x^2/a^2 + y^2/b^2 = 1 and B be a point on its auxillary circle vertically above it, then find the locus of the midpt of A,B
anonymous
 5 years ago
If A be a point on the ellipse x^2/a^2 + y^2/b^2 = 1 and B be a point on its auxillary circle vertically above it, then find the locus of the midpt of A,B

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The equation for the auxiliary circle is x^2+y^2=a^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i want that locus even i know the aux circle

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don't be smarta## to someone trying to help.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Some how related to Kepler's laws of planetary motion. Find the radius of the ellipse, radius of the aux: they form two legs of a right triangle. The distance between A, B is hypotenuse.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im getting that but m still nowhere close 2 getting the locus..thnx anyway..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I find that a=b and the distance AB is\[\sqrt{a ^{2}+b ^{2}}\]If you draw the ellipse on an xy coordinate, you find that x is length a and y is length b, similarly the aux is equal to a. Once again a and b are legs of the right triangle.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the locus is  \[y^2(a^2b^2) = 0\] if a point lies on two curves then the locus of the point is the elimination of the equations of the curves. You have \[x^2b^2 + y^2a^2 = a^2b^2\] and \[x^2+y^2=a^2\] solve them up!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no uve got it wrong man..i need the locus of the midpnt of the two points

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ahh.. i realise my mistake. I'll try again and let you know
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.