Question

The equation x^2+y^2+3x-2y=0 is an example of ?

Answer 1

The equation x^2+y^2+3x-2y=0 is an example of ?

We can say that this equation is the circle equation.

`\begin{gathered} \mleft(x-a\mright)^2+\mleft(y-b\mright)^2=r^2,\mathrm{\: with\: a\: radius\: r,\: centered\: at}\: \mleft(a,\: b\mright) \\ \end{gathered}`

Using the form standard equation circle equation:

`\mleft(x-\mleft(-(3)/(2)\mright)\mright)^2+\mleft(y-1\mright)^2=\mleft((√(13))/(2)\mright)^2`

Therefore,

`\mleft(a,\: b\mright)=\mleft(-(3)/(2),\: 1\mright)`

and

`r=(√(13))/(2)`

Answer: The given equation is an example of the circle equation.