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Find the equation of locus?
A point P moves such that its distance from two fixed points C(1,3) and D(4,-2) is in the ratio 1:3 . Find the equation of the locus P .
Solution with sketch drawing might help me to understand more
1 Answer
- Moise GunenLv 71 decade agoFavorite Answer
Let be P(x,y) a mobil point
distance from P(x,y) to C(1,3) = sqrt((x-1)^2+(y-3)^2))
distance from P(x,y) to D(4,-2) = sqrt((x-4)^2+(y+2)^2))
Now write
sqrt((x-1)^2+(y-3)^2)) / sqrt((x-4)^2+(y+2)^2)) = 1/3
(x-1)^2+(y-3)^2) = 9(x-4)^2+9(y+2)^2
A circle