# Locus of P

Refer to the image. There are circles centred at A, B, C. We create P so that there is a circle centred at P tangent externally to the other 3 circles. Given that the radii of the circles A, B, C can vary, find the locus of P.

Note by Clarence Chew
5 years, 1 month ago

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Is the radius of the circle about P fixed? Otherwise, you can pretty much draw 4 circles that satisfy the problem for any position of P.

- 5 years, 1 month ago

What if the circles centered about A, B, C didn't intersect?

- 5 years, 1 month ago

P is rights now a point as i see it.. points have no locus.

- 5 years, 1 month ago

"Given that the radii of the circles A, B, C can vary"

- 5 years, 1 month ago