# analytic geometry: equation of the locus

2 posts / 0 new
Mark Drio
analytic geometry: equation of the locus

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.?

Jhun Vert

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

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

Continue simplifying this equation. Good luck.

• Mathematics inside the configured delimiters is rendered by MathJax. The default math delimiters are $$...$$ and $...$ for displayed mathematics, and $...$ and $...$ for in-line mathematics.