evaluate the type of conic from the given

Question

Evaluate the type of conic from the given equation.

Indicate which type of conic each of the following represents.

1. ((x-3)²  )/9   +  (y-2)²/4    =  1
2. (x+2)²/25   -  (y-1)²/9      = 1
3. x²  +4x = y-4
4.  (x+2)²   +  (y-3)²  =49
5. (x+1)²/(25 )  +  (y-2)²/25  =  1
6.  xy =3