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mathematics Locus of a Point


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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

Nov 16th, 2017

If you wish Linear answers, then 

| 3x-4y+1|/5 :|12x+5y+3|/13= 3:1

3 *|12x+5y+3| /13= | 3x-4y+1|/5

Modulus can be positive or negative. There are two possibilities for each modulus.

(3x-4y+1)/5 = 3(12x+5y+3)/13

Similarly you can find other equations.

Dec 19th, 2014

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