Assertion :The differential equation of all circles in a plane is of order $3$ Reason: Only one circle can be drawn through any three points in a plane

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
In equation of a circle, there are three unknowns (x-coordinate, y-coordinate of center and the other is radius),
$∴$ We must differentiate the equation three times in order to find variables.
Thus, the order of differential equation is $3$ .
For a given three points in a plane, we can draw more than one circles.
Since, radius is not given.
Hence, the assertion is true and the reason is false.

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Q. (i)
Assertion: A circle is not a rectilinear figure.
Reason: A figure formed by straight lines only is called a rectilinear figure.
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(c) Assertion is true and Reason is false.
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Assertion :The differential equation of all circles in a plane is of order 3 Reason: Only one circle can be drawn through any three points in a plane

Assertion :The differential equation of all circles in a plane is of order $3$ Reason: Only one circle can be drawn through any three points in a plane