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A thin metal bar \mathrm {AB} of length 10 \mathrm {~cm} leans against a v...

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A thin metal bar \mathrm {AB}\mathrm {AB} of length 10 \mathrm {~cm}10 \mathrm {~cm} leans against a vertical wall. A point P(x, y)P(x, y) moves along the metal bar such that it is 3 \mathrm {~cm}3 \mathrm {~cm} from the end with the horizontal. Find the locus of PP.

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