Question

geometrical figure is represented by given
equation x2 + y2 - 12 = 0 ?​

Answer 1

Given equation,

$\longrightarrow x^2+y^2-12=0$

$\longrightarrow x^2+y^2=12$

$\longrightarrow (x-0)^2+(y-0)^2=12\quad\quad\dots(1)$

Now this equation is similar to the general equation of a circle.

The equation of a circle of center (a, b) and having radius 'r' units is,

$\longrightarrow (x-a)^2+(y-b)^2=r^2\quad\quad\dots(2)$

On comparing (1) and (2), we get that the equation $x^2+y^2-12=0$ represents a circle of radius $\sqrt{12}$ units with origin as the center.