Question

Find the equation of the locus of point P whose distance from Y axis is 3 times its distance from the origin​

Answer 1

Answer:

$8x^2 + 9y^2 = 0$

Step-by-step explanation:

Let the coordinates of the point be (x,y)

Distance from the y axis = x

Distance from the origin = $\sqrt{x^2 + y^2}$

$x = 3 \sqrt{x^2 + y^2}$

Squaring both sides,

$x^2 = 9(x^2 + y^2)$

∴ The locus is :

$8x^2 + 9y^2 = 0$