Question

The differential equation of all circles of radius $a$ is of order:

• A. $2$
• B. $3$
• C. $4$
• D. None of these

Answer 1

The correct option is A

$2$

Explanation for correct option

Calculating the order of the differential equation

Given,

A circle whose radius is $a$

The general equation of the family of circles of radius $a$ is represented by:

${\left(\mathrm{x}–\mathrm{h}\right)}^2+{\left(\mathrm{y}–\mathrm{k}\right)}^2={\mathrm{\alpha }}^2$

Since there are two parameters $\left(\mathrm{h},\mathrm{k}\right)$, So the differential equation is of order $2$.

Hence, the correct answer is Option (A).