Find the equations of all lines having slope 0 which are tangent to the curve 
It is given that equation of the curve y =
,
Now, slope of the tangent to the given curve at a point (x,y) is:
![]()
Now, if the slope of the tangent is 0, then we get,
![]()
⇒ -2(x-1)=0
⇒ x =1
So, when x = 1 then y = ![]()
Now, the equation of the tangent (0,
) is given by:
y –
= 0(x-1)
⇒ y -
= 0
⇒ y = ![]()
Therefore, the equations of the required line is y =
.