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

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Homework Help Overview

The discussion revolves around finding a point on a tangent line to a circle such that the line segments from the center of the circle to this point and from this point to a point on the circle are perpendicular. The subject area involves geometry, specifically properties of circles and tangents.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand how to locate point X on the tangent line, questioning the relationship between the center of the circle and the tangent. Some participants suggest considering the use of another circle as part of the solution.

Discussion Status

The discussion is ongoing, with participants sharing hints and exploring different interpretations of the problem. There is no explicit consensus yet, but some guidance has been offered regarding the use of another circle.

Contextual Notes

Participants are discussing the geometric setup and the implications of using a diameter for the circle in relation to the tangent line. The original poster has provided a diagram for clarity, but further details may be necessary for complete understanding.

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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