Circle Touching the $$y$$-Axis at a Given Point

Rarely Tested

Circle Touching the $$y$$-Axis at a Given Point

If the circle touches the $$y$$-axis at $$(0,b)$$ and has radius $$r$$, its centre is:

$$(\pm r,b)$$

Usage

- Used to determine the centre when the point of tangency with the $$y$$-axis is known.

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