If origin is shifted to the point `(a,b)` then what will be the transformed equation of the curve `(x-a)^(2)+(y-b)^(2)=r^(2)` ?

Explanation

Here `h=a` and `k=b`
`:. X=X+h=X+a`
and `y=Y+k=Y+b`
The transformed equation of the curve
`(x-a)^(2)+(y-b)^(2)=r^(2)` is
`(X+a-a)^(2)+(Y+b-b)^(2)=r^(2)`
`implies X^(2)+Y^(2)=r^(2)`