Finding a Perpendicular Point on a Tangent Line at the Center of a Circle

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To find a point X on a tangent line such that AX and XC are perpendicular, one can draw a line between point A (the center of the circle) and point C, using it as a diameter. This approach helps in determining the perpendicular relationship needed. The discussion suggests utilizing another circle to aid in visualizing the solution. Participants express gratitude for the clarification and hints provided. Understanding the geometric relationships is key to solving the problem effectively.
bolzano
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Can someone please explain how i can find a point X on the tangent line such that AX and XC are perpendicular (A is the centre)? Thanks : )

Here's a diagram: http://img856.imageshack.us/i/62852104.png/
 
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hi bolzano! :smile:

hint: another circle :wink:
 
tiny-tim said:
hi bolzano! :smile:

hint: another circle :wink:

Hi tiny-tim :)

Do i draw a line between A and C and use it as diameter? :)
 
Yup! :biggrin:
 
Thanks a lot! :)
 

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