Find the equations of the lines having slope `2` and touches the curve `y=1/(x-3)`, `(x ne 3)`

Find the equations of all lines having slope 2 and that are tangent to the curve y=1/(x-3),\ \ x!=3 .

Find the equation of all lines having slope -3 that are tangents to the curve y=(1)/(x-2), x ne 2 .

Find the equation of all lines having slope 2 which are tangents to the curve y=(1)/(x-3),x!=3

Find the equation of all lines having slope -1 that are tangents to the curve y=(1)/(x-1),x!=1

Find the equations of all lines : having slope -1 and that are tangents to the curve : y=(1)/(x-1), x ne1

Find the equation of all lines having slope 2 and being tangent to the curve quad y+(2)/(x-3)=0

Find the equations of all lines having slope 0 which are tangent to the curve y=(1)/(x^(2)-2x+3)

Find the equations of all lines of slope zero and that are tangent to the curve y=1/(x^2-2x+3) .

Find the equation of the circle having center at (2,3) and which touches x+y=1

Find the equation of all the line having slope equal to 3 and being tangent to the curve x^(2)+y^(2)=4