Which of the following is/are the equation of a circle?

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Solution

The correct options are
A

B

C

The general equation of circle is $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ . Here, the coefficients of x² and y² are equal and there is no xy term.
So all the three equations A, B and C represents a circle
Some of you might be thinking that the standard equation is
$(x - h)^{2} + (y - k)^{2} = r^{2}$ and in (B) it is

$(x - h)^{2} + (y - k)^{2} = r$ . The only difference is first one represents a circle with radius r and second one represents a circle with radius $\sqrt{r}$ .

Suggest Corrections

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| z - z_{1} |^{2} + | z - z_{2} |^{2} = a

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x = \frac{a}{\sqrt{2}} + a cos θ,

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