# 12) Find the equations of all lines having slope 0 which are tangent to the curve

We know that the slope of the tangent  at a point on the given curve is given by

Given the equation of the curve as

It is given thta slope is 0
So,

Now, when x = 1 ,

Hence, the coordinates are
Equation of line passing through  and having slope = 0 is
y = mx + c
1/2 = 0 X 1 + c
c = 1/2
Now equation of line is

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