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Q. The order of differential equation of all circles of given radius $'a'$ is _____

KCETKCET 2015Differential Equations

Solution:

Let the centre of circle be $( h , k )$ and radius $a$, then its equation will be
$(x-h)^{2}+(y-k)^{2}=a^{2}$
Since, there are two parameters $h$ and $k .$ So, the differential equation is of order 2