Is x*x + y*y = 0 the equation of the origin (0,0) if x and y =0? If not, why?I need the reason why my equation cannot be the equation of the origin? Is there any equaion for the origin itself?
Assuming that you are, in fact, talking about the equation for a circle, there's another reason why the equation x^2 + y^2 = 0 can't give you the center of the circle at the origin.
If we subtract x^2 from both sides of the equation, we see that y^2 = -(x^2). But no real number except zero for both x and y will make that equation true. And those values will give you the origin (0,0) as a solution, but you only have a point--as the earlier answer states, no circle.
What if the values of x and y are not zero? y^2 still has to have the same value as the opposite of x^2. We know that squaring a number will never result in a negative number, so the only non-zero values of x and y will be ones in which one of the variables is real and the other is imaginary. And although we may use our imagination to conjure up a circle, a circle is not composed of imaginary values.