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I am trying to find the maximum radius of a circle which is inscribed by an ellipse with equation $(x-1)^2 + 9y^2=1$ please I need your help!! Thank you.

DeepSea
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user507682
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    Welcome to Stackexchange. You'll find that simple "Here's the statement of my exercise, solve it for me" posts will be poorly received. What is better is for you to add context: What you understand about the problem, what you've tried so far, etc. Something to both show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance. – B. Mehta Nov 29 '17 at 00:42
  • What is the equation of the circle with center (1,0) and rdius $r$ ? Now how can you know the points of intersection between this ellipse and these circles ? By eliminating for rxample $y$ between these equations. The good $r_0$ is when you have 2 roots but any value $r>r_0$ gives 4 roots. – Jean Marie Nov 29 '17 at 01:33
  • @user507682 If you are ok, you can set as solved. Thanks! – user Dec 03 '17 at 11:52

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it should coincide with the minor semiaxis of the ellipse

user
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  • What shall I do ? what are the steps to solve this question the question is has no more hint rather than the given equation of ellipse. I think the center of the circle should also be (1,0) and how can I find the maximum radius of the circle which is inscribed by the ellipse – user507682 Nov 29 '17 at 01:20