A) 1
B) 2
C) 3
D) 4
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.
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