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A(𝟐,𝟏) and B(πŸ’, πŸ“) are two given points in the O X Y plane. A...

A(𝟐,𝟏) and B(πŸ’, πŸ“) are two given points in the O X Y plane. A variable point P(𝒙,π’š) in the plane
is such that |AP|=|BP|=2:1. (i) Find the equation of the locus of P and hence describe this locus
completely. (ii) Find the coordinates of the points on AB which lie on the locus in (i).?

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