Order of the differential equation of the family of all concentric circles centered at $(h, k)$ is
Order of the differential equation of the family of all concentric circles centered at $(h, k)$ is
$1$
$2$
$3$
$4$
Solution
The equation of the family of all concentric circles centred at $(h, k)$ is
$
(x-h)^2+(y-k)^2=r^2
$
$h$ and $k$ are given so, the above equation has only one parameter.
$\therefore$ Order of the differential equation $=1$