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Question

The differential equation of all circles in the first quadrant which touches the coordinate axes is of order?


A

1

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B

2

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C

3

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D

None of these

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Solution

The correct option is A

1


Explanation for correct option:

Calculating the differential equation.

Given,

There are circles in the first quadrant that touches coordinate axes.

The diagram represents,

This circle will have the same x,y coordinates and that is equal to the radius of the circle.

The equation becomes,

x-α2+y-α2=α2

where a is a parameter.

Since there is only one parameter, the equation is of order 1.

Therefore, the differential equation is of order 1.

Hence, the correct answer is Option (A).


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