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A rod of length 12 cm moves with its end...

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point `P` on the rod, which is 3cm from the end in contact with the x-axis.

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In `triangle PBQ`,
`cos theta=frac{PQ}{PB}=frac{x}{9}`
In `triangle PRA`,
`sin theta=frac{P R}{P A}=frac{y}{3}`
...
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