Mathematics, 18.08.2019 14:20 EvoBruh3273
Acurve is traced by a point p(x, y) which moves such that its distance from the point a(1, -2) is twice its distance from the point b(4, -3). determine the equation of the curve.
Answers: 1
![|PA|=\sqrt{(1-x)^2+(-2-y)^2}\\\\|PB|=\sqrt{(4-x)^2+(-3-y)^2}\\\\|PA|=2|PB|\\\\\sqrt{(1-x)^2+(-2-y)^2}=2\sqrt{(4-x)^2+(-3-y)^2}\\\\(1-x)^2+(-2-y)^2=4[(4-x)^2+(-3-y)^2]\\\\1-2x+x^2+4+4y+y^2=4(16-8x+x^2+9+6y+y^2)](/tpl/images/0176/2155/041dc.png)
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Acurve is traced by a point p(x, y) which moves such that its distance from the point a(1, -2) is tw...
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