Q107 / 200 · TS EAMCET 2002 · Mathematics

Order of the differential equation of the family of all concentric circles centered at $(h, k)$ is

  • Correct answer
    A
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $4$

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 $=1$

Hence, the correct answer is option: 'A'.

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