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