The order of the differential equation whose solution is $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$

$1$

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$2$

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$3$

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$4$

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Solution

The correct option is C
$3$

Explanation for the correct option
Given equation is $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$
There are $3$ arbitrary constants $g, f$ and $c$
Therefore the order of the differential equation is $3$
Hence, the correct option is $(C)$ .

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