Examine whether point `(2, -5)` lies on the curve `x^2 +y^2 -2x+1=0`

Examine whether point (1, 2) lies on the curve 4x^2 - y^2 =0 .

Examing whether point (2, -3) lies on the curve x^2 - 2y^2 + 6xy + 8 =0 .

State whether the following are true or false (e) the point (2, 3) lies outside the circle x^2+y^2-2x+6y+1=0

The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

The point (0,5) is closest to the curve x ^(2) = 2y at :