Differential Equations Question 53

Question: The differential equation of all circles in the first quadrant which touch the coordinate axes is of order

Options:

A) 1

B) 2

C) 3

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

The equation of the family of circle which touch both the axes is $ {{(x-a)}^{2}}+{{(y-a)}^{2}}=a^{2}, $ where a is a parameter. This is one parameter family of curves. So its differential equation is of order one.