SOLUTION: an ellipse x^2/(4c^2) + y^2/(c^2) = 1 and a circle x^2 + y ^2 = 9a^2 cuts at 4 points. then the relation between a and c is

Algebra ->  Circles -> SOLUTION: an ellipse x^2/(4c^2) + y^2/(c^2) = 1 and a circle x^2 + y ^2 = 9a^2 cuts at 4 points. then the relation between a and c is      Log On


   

Question 739209: an ellipse x^2/(4c^2) + y^2/(c^2) = 1 and a circle x^2 + y ^2 = 9a^2 cuts at 4 points. then the relation between a and c is
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Any way you do this will require an x or a y staying involved. I tried solving the ellipse for y^2, and substituted this into the circle equation; and solved for a.

This result gave a=sqrt%28%281%2F12%29x%5E2%2Bc%5E2%29.

You could try solving for x^2 first, and do similarly.