mathematics Locus of a Point

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pnzcoryy_fg

Mathematics

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 2 tutors attempt to answer this with conflicting answers. i'd expect 2 linear answers

Find the equation of the locus of the point P that moves such that the distance from P to the line 

3y - 4y + 1 = 0 and 12x + 5y + 3 = 0 is in the ratio 3:1

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