Question

A point moves such that its distance from Y-axis is half of its distance from the origin. The locus of the
point is​

Answer 1

Answer:

A point moves such that its distance from Y-axis is half of its distance from the origin. The locus of the

point is

Answer 2

Answer:

The locus of the point is $3x^2=y^2$.

Step-by-step explanation:

Distance from Y-axis is the X-co-ordinate of the point $= x$

Distance from Origin (0,0)  $=\sqrt{(x-0)^2 + (y-0)^2}$  $=\sqrt{x^2 + y^2}$

According to the problem:

$x=\frac{1}{2} \sqrt{x^2 + y^2}$

$=>x^2=\frac{1}{4} (x^2 + y^2)$

$=>4x^2=x^2 + y^2$

$=>3x^2=y^2$