# analytic geometry: equation of the locus

Submitted by Mark Drio on January 19, 2017 - 7:52am

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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## $\sqrt{x^2 + (y - 6)^2}

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

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

Continue simplifying this equation. Good luck.