Differential Equations Question 41

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

Options:

A) 2

B) 3

C) 4

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

The equation of the family of circles of radius a is $ {{(x-h)}^{2}}+{{(y-k)}^{2}}=a^{2} $ which is a two parameter family of curves. So its differential equation is of order two.