Need help in question one, couldnt find out how to calculate the tangent lines

[KitlamaCay]

 

[stapel]

View attachment 34731

It's difficult to read the huge sideways graphic. I think your question is as follows:

Q1: Consider the tangent lines to the circle e:x^2+y^2=4. At which point on the circle e, the area of the triangle in the first quadrant formed by the tangent line and the coordinate axes will be the minimum?

If this is not correct, please reply with corrections. When you reply, please include a clear listing of your thoughts and efforts so far.

Thank you!

Eliz.

 

[Dr.Peterson]

Please show your attempt, so we can see where you need help. Is your difficulty in finding the slope (e.g. by implicit differentiation), or somewhere else?

There are several different ways you could approach this, starting with what variable you use to identify a point on the circle.