Find the equation of the locus of a point which moves such that the ratio of its distances from `(2,0)a n d(1,3)` is `5: 4.`

Explanation

`(AP)/(BP)=5/4`

`(AP)^2/(BP)^2=(25/16)`
`d=sqrt((x_1-x_2)^2+(y_1-y_2)^2`

`d^2=(x_1-x_2)^2+(y_1-y_2)^2`

`(AP)^2=(h-2)^2+(k-0)`

`(BP)^2=(h-1)^2+(k-3)^2`

`(AP)^2/(BP)^2=25/16`

`((h-2)^2+k^2)/((h-1)^2+(k-3)^2)=25/16`

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