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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
4 years, 3 months 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. Gabriel Wong · 4 years, 3 months ago

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@Gabriel Wong What if the circles centered about A, B, C didn't intersect? Clarence Chew · 4 years, 3 months ago

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P is rights now a point as i see it.. points have no locus. Rohan Punshi · 4 years, 3 months ago

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@Rohan Punshi "Given that the radii of the circles A, B, C can vary" Kenneth Chan · 4 years, 3 months ago

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