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Question

The order of the differential equation of all circles of radius r, having a centre on the y-axis and passing through the origin is


A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A

1


Explanation for the correct option

The equation of a family of circles of radius r, having a centre on the y-axis and passing through the origin is

(x-0)2+(y-r)2=r2⇒x2+y2-2ry=0

This is 1 parameter family of circle.

So the order of the differential equation is 1

Hence, the correct option is A


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