Question

The order of differential equation of all circles of given radius ${}^{\prime }{a}^{\prime }$ is ____

• A. $4$
• B. $2$
• C. $1$
• D. $3$

Answer 1

The correct option is B $2$

Any circle with given radius can be written as, $(x-h{)}^2+(y-k{)}^2=a^2$

Where $(h,k)$ be the center of the circle which is variable.

So in above algebraic equation , there are two arbitrary constants $h$ and $k$

Hence order of differential equation corresponding to above equation will be 2nd order