Differential Equations Question 17
Question: The order of the differential equation of all circles of radius r, having centre on y-axis and passing through the origin is
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: A
Solution:
The equation of a family of circles of radius r passing through the origin and having centre on y-axis is $ {{(x-0)}^{2}}+{{(y-r)}^{2}}=r^{2} $ or $ x^{2}+y^{2}-2ry=0 $ . This is one parameter family of circles, so its differential equation is of order one.
BETA
