Q12 of 168 Page 211

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 = .


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