Question

A point moves so that its distance from the point (-4,-3) is twice its distance from Y-axis.
Find the equation of the locus.

plzz solve step by step ​

Answer 1

Answer:

Let an arbitrary point be P(x,y).

Its distance from x-axis is

dx=|y| and its distance from the origin is

d=

√

x2+y2

It is given that

dx=

d

3

or

3dx=d

or

9d

2

x

=d2

or

9(y2)=x2+y2

or

x2−8y2=0