Çözüldü Analytic Geometry - Circle - Trigonometry

For a circle whose diameter lies on the x-axis with abscissae -1 and 11, if the angle between the axis of ordinates and the tangent line located in the first quadrant of the Cartesian plane is π / 3 radians, what is the x-coordinate of the point of tangency?


https://i72.servimg.com/u/f72/19/97/10/39/analyt10.png
https://www.wolframalpha.com/input?i=11 - (11 - (-1)) / 2 + ((11 - (-1)) / 2)*cos(60 degrees)

Note: Homework for the interested students to understand the solution.

Source (Turkish):
x ekseni üzerindeki çapının uç noktalarının apsisleri -1 ve 11 olan çemberin Kartezyen düzlemin I. bölgesindeki teğetiyle ordinat ekseni arasındaki açı π / 3 radyan ise teğetin değme noktasının apsisi kaçtır?
FDD Weekly Magazine, April 17, 2006, No: 2006 / 16, Page 43, Question 16 (with drawing)