Math Question - tangents and circles

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The tangent line to a circle may be defined as the line that intersects in a single point, called the point of tangency. See the figure. If the equation of the circle is x2+y2 = r2 and the equation of the tangent line is y = mx+b, SHOW THAT: a) r2 (1+m2) = b2 [The quadratic equation x2 + (mx + b)2 = r2 has exactly one solution. b) The point of tangency is (-r2m/b , r2/b) c) The tangent line is perpendicular to the line containing the center of the circle and the point of tangency [login to view URL]

Mathematics

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@vano101

Hello. It should be easy for me, but perhaps, It looks as initial description of task, but now question. What is question? What is thing should be resolved? Thanks

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@ygeproenza

Hi, I am a mathematician and I have been teaching for a long time, I am ready for your answer questions. As you can see in my profile I am a serious bidder here and i have already worked on a similar project before. I can deliver your work as you need. I have checked your requirements in the file and I have right skills to work on this assignment. I am ready to start, just adjudicate the project.

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@Daigiu

Study mechanical engineering I'm in third grade, I have very good grades and lots of practice in mathematical analysis I and II, I would have no problems with this project. I would love to participate. regards

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