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anonymous
 4 years ago
Its distance from (0,0) is three times its distance from (4,0)
anonymous
 4 years ago
Its distance from (0,0) is three times its distance from (4,0)

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0see acc. to this x=3y so if x=3 then y =1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How did you get that answer? Distance formula etc

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1326979014858:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[x^2+y^2=(3d)^2\quad,\quad (x4)^2+y^2=d^2\]\[x^2+y^2=9[(x4)^2+y^2]\]\[x^2+y^2=9x^272x+144+9y^2\]\[0=8x^272x+144+8y^2\]\[0=x^29x+18+y^2\]\[0=x^29x+20.252.25+y^2\]\[1.5^2=(x4.5)^2+y^2\]\[\mbox{all points on circle: }\quad 1.5^2=(x4.5)^2+y^2\]

mathmate
 4 years ago
Best ResponseYou've already chosen the best response.0or, for the points (0,0) and (x0,y0), all points on the circle \[(x\frac{9x_0}{8})^2+(y\frac{9y_0}{8})^2 = \frac{9}{64}(x_0^2+y_0^2)\] and for x0=4, y0=0, it reduces to the equation given by nikvist above. Note that both (3,0) and (6,0) satisfy this question's requirements.
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