Q. 123.9( 23 Votes )
Find the equations of all lines having slope 0 which are tangent to the curve 
Answer :
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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