analytic geometry: equation of the locus

Mark Drio's picture

hey i need your help. please answer this question.please
1.a point moves so that the product of the distance from (0,6) and (9,0) is twice the ratio of its ordinate to its abscissa .find the equation of the locus.?

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Jhun Vert's picture

$\sqrt{x^2 + (y - 6)^2} \times \sqrt{(x - 9)^2 + y^2} = 2\times\dfrac{y}{x}$

$\left[ x^2 + (y - 6)^2 \right] \times \left[ (x - 9)^2 + y^2 \right] = \dfrac{4y^2}{x^2}$

Continue simplifying this equation. Good luck.

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