Question
Question: The order of the differential equation of the family of circles with one diameter along the line y =...
The order of the differential equation of the family of circles with one diameter along the line y = x is
A
3
B
2
C
1
D
None of these
Answer
2
Explanation
Solution
Centre of the circles can be taken as (a, a) and radius as r for some real numbers a and r. Thus, the family is a two parameter family. Hence, order of the corresponding differential equation is 2.