Which of the following is the equation of a c | vedclass

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(D) The general equation of a circle is given by $x^2 + y^2 + 2gx + 2fy + c = 0$,where the coefficients of $x^2$ and $y^2$ are equal and there is no $

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$3(x^2 + y^2) + 5x + 1 = 0$

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(D) The general equation of a circle is given by $x^2 + y^2 + 2gx + 2fy + c = 0$,where the coefficients of $x^2$ and $y^2$ are equal and there is no $xy$ term.Option $A$ has different coefficients for $x^2$ and $y^2$ ($1$ and $2$).Option $B$ has different signs for $x^2$ and $y^2$.Option $C$ contains an $xy$ term.Option $D$ can be written as $3(x^2 + y^2) + 5x + 1 = 0$,which simplifies to $x^2 + y^2 + \frac{5}{3}x + \frac{1}{3} = 0$. This matches the form of a circle equation.

Which of the following is the equation of a circle?

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