Question

Find the equation of locus of the point whose distence from the coordinate axes are in the ratio 2:3

Answer 1

Step-by-step explanation:

let the distance on the locus be P(a,b)

distance of P from x axis =b

and, distance of P from y axis =a

now according to the question

b:a=2:3

b/a=2/3

2b=3a

now putting (x,y)for (a,b)

we get the equation as

4y-3x=0